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Texas Instruments TI-84 Plus Calculator User Manual

1. dim istname Returns the dimension of 2nd LIST listname OPS 3 dim dim matrixname Returns the dimension of 2nd MATRIX matrixname as a list MATH 3 dim length gt dim listname Assigns anew dimension nd LIST length to a new or OPS existing istname 3 dim rows columns gt Assigns new dimensions 2nd MATRIX dim matrixname to a new or existing MATH matrixname 3 dim Disp Displays the home screen t PRGM 1 0 3 Disp Disp valueA valueB Displays each value t PRGM valueC value n 1 0 3 Disp DispGraph Displays the graph t PRGM vo 4 DispGraph DispTable Displays the table t PRGM 1 0 5 DispTable value DMS Displays value in DMS ANGLE format ANGLE 4 gt DMS Dot Sets dot plotting mode t resets all Y editor graph Dot style settings to Appendix A Tables and Reference Information 117 Function or Instruction Key or Keys Menu Arguments Result or Screen Item DrawF expression Draws expression in terms DRAW of X on the graph DRAW 6 DrawF Drawlnv expression Draws the inverse of DRAW expression by plotting X DRAW values on the y axis and Y 8 Drawlinv values on the x axis DS lt variable value Decrements variable by 1 t zcommandA skips commandA if variable CTL tcommands lt value B DS lt e power Returns e raised to power 2nd e e list Returns a list of e r
2. 2 Var Stats X listname Ylistname freqlist Performs two variable analysis on the data in Xlistname and Ylistname with frequency freqlist STAT CALC 2 2 Var Stats variance ist freqlist Returns the variance of LIST the elements in ist with MATH frequency freqlist 8 variance Vertical x Draws a vertical line at x DRAW DRAW 4 Vertical vwAxes Sets sequence graphs to t 2nd FORMAT plot v n on the x axisand vw w n on the y axis Web Sets sequence graphs to t 2nd FORMAT trace as webs Web While condition Executes commands while t PRGM tcommands condition is true CTL End 5 While tcommand valueA xor valueB Returns 1 if only valued or TEST valueB 0 valueA and LOGIC valueB can be real 3 xor numbers expressions or lists 146 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item ZBox Displays a graph lets you t draw a box that definesa ZOOM new viewing window 1 ZBox and updates the window ZDecimal Adjusts the viewing t window so that AX 0 1 ZOOM and AY 0 1 and displays 4 ZDecimal the graph screen with the origin centered on the screen Zinteger Redefines the viewing t window using these ZOOM dimensions 8 ZInteger AX 1 Xscl 10 AY 1 Yscl 10 Zinterval o istname Computes az confidence t STAT freqlist confidence level interval TESTS Data l
3. Your first reaction to this example is that the graphing handheld has produced a wrong answer But you have set it to round to 0 decimal places the nearest whole number so for this setting the answer is correct If you set rounding decimals displayed to 0 and then forget to reset it for later calculations you may be surprised by some of your answers With mode set to the default setting of Float the result will be Press Result 2 3 x 2 Brahe HE 1 333333333 Setting the graphing window To obtain the best view of the graph you may need to change the boundaries of the window To display the WINDOW Editor press WINDOW Window variables shown in Corresponding viewing WINDOW Editor window shown on Graph window The Xmin Xmax Ymin and Ymax variables represent the boundaries of the viewing window Getting Started 21 Xmin the minimum value of X to be displayed Xmax the maximum value of X to be displayed Ymin the minimum value of Y to be displayed Ymax the maximum value of Y to be displayed Xcsl X scale the distance between the tick marks on the X axis Yscl Y scale the distance between the tick marks on the Y axis Xres pixel resolution not usually changed except by advanced users To change the values 1 Move the cursor to highlight the value you want to change 2 Doone of the following e Type a value or an expression The old value is erased when you be
4. HES eS4O4S GVS4LL coos u 3 With the cursor near the maximum value of the function press ENTER The new viewing window is displayed Both Xmax Xmin and Ymax Ymin have been adjusted by factors of 4 the default values for the zoom factors ere Hes res4O4s YS41L cose Activities 55 4 Press WINDOW to display the new window settings Finding the Calculated Maximum You can use a CALCULATE menu operation to calculate a local maximum of a function 1 Press 2nd CALC above TRACE to display the fyi tao zuiczeve He CALCULATE menu Press 4 to select 4 maximum The graph is displayed again with a Left Bound prompt Left Bound Hes P 2544S Y 41 22341 2 Press J to trace along the curve to a point yisrzg sHeere HIn to the left of the maximum and then press ENTER A gt at the top of the screen indicates the Or oe E selected bound Right Bound Hes c97 bres Y 406 7 0486 A Right Bound prompt is displayed 3 Press gt to trace along the curve toa point fiaceo eneere Hn to the right of the maximum and then 1 press ENTER A 4 at the top of the screen indicates the E TES selected bound Guess NEW 0691409 Y 406 93216 A Guess prompt is displayed 4 Press lt j to trace to a point near the maximum and then press ENTER 56 Activities Or press 3 8 and then press ENTER to TIZCEO PNMEE E H enter a guess for the maximum When you press a nu
5. If you select 1 Quit you return to the home screen with the cursor on a new entry line If you select 2 Goto you return to the original entry line the cursor is flashing at the location of the error You can now correct the error and continue You can find a complete list of error conditions with explanations in Appendix B General Information Resetting defaults If you are getting unexpected results or if another person has used your TI 84 Plus and may have changed the settings you should consider resetting defaults on the TI 84 Plus Press Result ven out Hem Mont Del Clear Entries ClrAllLists Archive Un rchive tReset Getting Started 43 Press Result 7 ci ARCHIVE ALL 11 FAM Defaults 2 fin Reset TI B4Flus Silver Edition E Defaults set WARNING If you reset All RAM in step 3 above you will delete stored variables lists applications and programs Be sure you have backed up any essential data before you select this option Installing applications Graphing handheld software applications Apps let you update the functionality of your TI 84 Plus by installing Apps This is similar to the way that you add new features to your computer by installing new software applications You can find applications for the TI 84 Plus at the TI Online Store at education ti com Once you have downloaded an application to your computer you m
6. irr CFO CFList CFFreq Returns the interest rate 1 Finance at which the net present CALC value of the cash flow is amp 8 irr equal to zero t skips command if CTL S gt variable value Increments variable by 1 commandA Srimad variable gt value A IS gt isClockOn Identifies if clock is ON or CATALOG OFF Returns 1 if the clock isClockOn is ON Returns 0 if the clock is OFF Appendix A Tables and Reference Information 125 Function or Instruction Key or Keys Menu Arguments Result or Screen Item Llistname Identifies the next one to LIST five characters as a user OPS created list name B L LabelOff Turns off axes labels t FORMAT LabelOff LabelOn Turns on axes labels t FORMAT LabelOn Lbl abel Creates a label of oneor t two characters CTL 9 Lbl Icm valueA valueB Returns the least common multiple of valued and NUM valueB which can be real 8 Icm numbers or lists length szring Returns the number of nd CATALOG characters in string length Line X7 Y1 X2 Y2 Draws a line from X Y 2nd DRAW to X2 Y2 DRAW 2 Line Line X Y X2 Y2 0 Erases a line from X Y 2nd DRAW to X2 Y2 DRAW 2 Line LinReg a bx X istname Fits a linear regression STAT Ylistname freqlist model to X istname and CALC regequ Ylistname with frequency _8 LinReg a bx freqlist and stores the regression equation to regequ LinReg ax b X istname Fits a lin
7. Float lets the number of decimal places change based on the result up to 10 digits e 0 9 sets the number of decimal places to a value 0 9 that you specify Angle e Radian interprets angle values as radians measure e Degree interprets angle values as degrees Getting Started 19 Setting Choices Type of graph Func functional plots functions where Y is a function of X e Par parametric plots relations where X and Y are functions of T e Pol polar plots functions where r is a function of n 8 e Seg sequence plots sequences Plot type e Connected draws a line connecting each point calculated for the selected functions e Dot plots only the calculated points of the selected functions Sequential or e Sequential draws graphs one at a time simultaneous e Simul simultaneous draws several graphs at the graphing same time Real or e Real displays real numbers such as 1 1 2 y3 complex mode a bi rectangular complex displays as 3 21 e re polar complex displays as re Ot Screen display e Full displays full screen e Horiz displays a horizontal split screen e G T displays a vertical split screen graph amp table The importance of mode settings Example Multiply 2 3 x 2 Press Result MODE gt ENTER TF ee Horiz G T 20 Getting Started Press Result 2 3 x 2 ENTER eat
8. Memory and Variable Management 85 Archive Li Done Note An asterisk will be displayed to the left of the Archived variable name to indicate it is archived To archive or unarchive a list variable L1 using a Memory Management editor 1 86 Press MEM to display the MEMORY menu them Momt Del Clear Entries ClrAllLists Archive UnArchive Select 2 Mem Mgmt Del to display the MEMORY MANAGEMENT DELETE menu tars RAM FREE 23596 ARE FREE 868268 1 Press to archive L1 An asterisk will appear to the left of L1 to indicate it is an archived variable To unarchive a variable in this screen put the cursor next to the archived variable and press ENTER The asterisk will disappear RAM FREE 25594 ARC FREE 868235 1 12 12 12 12 12 12 Memory and Variable Management 5 Press quit to leave the LIST menu Note You can access an archived variable for the purpose of linking deleting or unarchiving it but you cannot edit it Resetting the TI 84 Plus RAM ARCHIVE ALL Menu Reset displays the RAM ARCHIVE ALL menu This menu gives you the option of resetting all memory including default settings or resetting selected portions of memory while preserving other data stored in memory such as programs and Y functions For instance you can choose to reset all of RAM or just restore the default settings Be aware that if you choose to reset RAM all data and programs in RAM will be erased F
9. Press WINDOW to display the window editor where you can view and edit the values of the window variables The standard window variables define the viewing window as shown Xmin Xmax Ymin and Ymax define the boundaries of the display Xscl and Ysel define the distance between tick marks on the X and Y axes Xres controls resolution Press O ENTER to define Xmin Press 20 2 to define Xmax using an expression Press ENTER The expression is evaluated and 10 is stored in Xmax Press ENTER to accept Xscl as 1 Press 0 ENTER 500 ENTER 100 ENTER 1 to define the remaining window variables sc1 1488 Ares 1 Activities 53 Displaying and Tracing the Graph Now that you have defined the function to be graphed and the window in which to graph it you can display and explore the graph You can trace along a function using the TRACE feature 1 Press GRAPH to graph the selected function in the viewing window The graph of 1 20 2X 25 2 X X is displayed 2 Press gt to activate the free moving graph cursor The X and Y coordinate values for the position of the graph cursor are displayed on the bottom line H G 106S82 UYSch0 3 Press 4 LJ 4 and to move the free moving cursor to the apparent maximum of the function coordinate values are updated continually aN As you move the cursor the X and Y Haz PES4O4S GVE4LL2OOSE a 4 Press TRACE The trace cursor is displaye
10. Quick reference Press To 2nd 4 Darken the screen 2nd Lighten the screen 2nd gt Move the cursor to the end of an expression 2nd 9 Move the cursor to the beginning of an expression ALPHA gt Page down to the next screen on menus ALPHA 4 Page up to the next screen on menus 2nd ENTRY Place your last entry on the current entry line on the home screen 2nd ANS Place Ans a reference to your last answer on the current entry line on the home screen allowing you to use the answer in the next calculation DEL Delete the character under the cursor 2nd INS Insert additional characters at the cursor BIg Move the cursor from line to line DIT Move the cursor from character to character within a line CLEAR Clear the current line If the cursor is on a blank line clears everything on the home screen Battery precautions Take these precautions when replacing batteries e Do not leave batteries within the reach of children e Do not mix new and used batteries Do not mix brands or types within brands of batteries e Do not mix rechargeable and non rechargeable batteries e Install batteries according to polarity and diagrams e Do not place non rechargeable batteries in a battery recharger e Properly dispose of used batteries immediately e Do not incinerate or dismantle batteries 46 Getting Started Activities
11. ccceccecseseeeeeeeeeseaeeeseeeessseeeessneeesenees Grouping and Ungrouping Variables Garbage CollctiOns 35 ssc ters aaea e a e eroaa Eies ERR ARCHIVE FULL Message c cccsececeeeeeeeeeeeeeeeeseeeeeeeeseneeees 4 Communication Link 0 cccsseseseseeseeeeesseenseeeaeeeeeeeeseene Getting Started Sending Variables cccccccsecesseeeeessteeesees TSB PlUSSLIN Kisccccsvscastavadvsdvetataatasaatinsscecectsscevaues chevanataiceancvanceenees Selecting Items to Send Receiving Items cceeeeeeees Backing Up RAM Memory Error Conditions si ieee teil teenies A Appendix A Tables and Reference Information 111 Table of Functions and Instructions esseere 111 Variable Shina n a tu Wiadecd ovsauaceassuelvedecasideseaieends 154 Statistics F rmulA Sienaan aante aaae a etea EnEn AARET air 155 Financial FOPMULAS icena a a a aN 159 B Appendix B General Information c ceeeeeee 163 vi Battery Information s str aanraai e 163 Important Things You Need to Know About Your TI 84 Plus 165 In Case of Difficulty enerne areenaan ede aE eat Error Conditions ai a a a aa Accuracy Information cccsccssseseseeeseeeseeeees Texas Instruments TI Support and Service Texas Instruments TI Warranty Information Getting Started TI 84 Plus keys 2nd Provides access to the function or character shown above each key Provides access to the charact
12. fed Med BALinked axth3 Quadkeg Cubickeg f Quarteed ENTER Linkeataxth E L1 G Bnd L2 ENTER Note The information on the last screen means that the points in L1 and L2 1 5 2 6 3 7 4 8 all lie on the line Y X 4 Getting Started 35 Calculating statistical variables The TI 84 Plus lets you easily calculate one variable or two variable statistics for data that you have entered into lists Example Using the data that you entered into L1 from the previous section Using STOs calculate one variable statistics Press Result STAT P EDIT TESTS 1 Var Stats i7 Var Stats 3 fled Med 4 Linke gt axtbh3 St usdked 6 Cubicked F Quarteed ENTER i Var State 2nd L1 i Var Stats Li ENTER 36 Getting Started Using the MATRIX Editor Creating a new matrix Press Result MATRIX 4 ENTER 2 ENTER 2 ENTER 1 ENTER 5 ENTER 2 ENTER 8 ENTER Note When you press ENTER the cursor automatically highlights the next cell so that you can continue entering or editing values To enter a new value you can start typing without pressing ENTER but you must press to edit an existing value Using matrices to solve systems of equations You can solve several equations simultaneously by entering their coefficients into a matrix and then using the rref reduced row echelon form function For example in the
13. the Home screen select 1 Quit Press ENTER or e To return to the clock application and correct the error select 2 Goto Press ENTER Getting Started Turning the Clock On There are two options to turn the clock on One option is through the MODE screen the other is through the Catalog Using the Mode Screen to turn the clock on 1 If the Clock is turned off Press to highlight TURN CLOCK ON 2 Press ENTER Using the Catalog to turn the clock on 1 If the Clock is turned off Press CATALOG 2 Press or 4 to scroll the CATALOG until the selection cursor points to ClockOn 3 Press ENTER krear gitries Clock FClockOn Turning the Clock Off 1 Press CATALOG 2 Press or 4 to scroll the CATALOG until the selection cursor points to ClockOff 3 Press ENTER ClrAllLists ClrOraw ClockOff will turn off the Clock display ClrHome TI 84 Plus menus Many functions and instructions are entered on the home screen by selecting from a menu To select an item from the displayed menu e Press the number or letter shown at the left of that item e Use the cursor arrow keys z or 4 to highlight the item and then press ENTER 8 Getting Started Some menus close automatically when you make a selection but if the menu remains open press QUIT to exit Do not press CLEAR to exit since this will sometimes delete your selection Example Enter 3
14. All is displayed with everything pre selected To select items to send 1 Press LINK on the sending unit to display the LINK SEND menu 2 Select the menu item that describes the data type to send The corresponding SELECT screen is displayed 3 Press 4 and to move the selection cursor gt to an item you want to select or deselect 4 Press ENTER to select or deselect the item Selected names are marked with a m Note An asterisk to the left of an item indicates the item is archived 5 Repeat steps 3 and 4 to select or deselect additional items Sending the Selected Items After you have selected items to send on the sending unit and set the receiving unit to receive follow these steps to transmit the items To set the receiving unit see Receiving Items 1 Press gt on the sending unit to display the TRANSMIT menu SELECT MEARE iHTransmi 2 Confirm that Waiting is displayed on the receiving unit which indicates it is set to receive Communication Link 103 3 Press ENTER to select 1 Transmit The name and type of each item are displayed line by line on the sending unit as the item is queued for transmission and then on the receiving unit as each item is accepted PROGRAML FRGM eivind G0E1 GOB PROGRAML PRGN Li LIST G0E1 GOB L z LIST Li LIST FL LIST Le LIST Done L3 LIST Done Note Items sent from the RAM of the sending unit are transmitted to the RAM of the re
15. Shade Y2 Y1 Ans 75 Press quit to return to the home screen Enter the expression to evaluate the integral for the shaded region fnint Y1 Y2 X Ans 75 The area is 325 839962 Using Parametric Equations Ferris Wheel Problem Problem Using two pairs of parametric equations determine when two objects in motion are closest to each other in the same plane 68 Activities A ferris wheel has a diameter d of 20 meters and is rotating counterclockwise at a rate s of one revolution every 12 seconds The parametric equations below describe the location of a ferris wheel passenger at time T where a is the angle of rotation 0 0 is the bottom center of the ferris wheel and 10 10 is the passenger s location at the rightmost point when T 0 X T r cos a where a 21Ts and r d 2 Y T r rsina A person standing on the ground throws a ball to the ferris wheel passenger The thrower s arm is at the same height as the bottom of the ferris wheel but 25 meters b to the right of the ferris wheel s lowest point 25 0 The person throws the ball with velocity vo of 22 meters per second at an angle 8 of 66 from the horizontal The parametric equations below describe the location of the ball at time T X T b Tvg cos Y T Tvg sin6 g 2 T where g 9 8 m sec Procedure 1 Press MODE Select Par Simul and the default settings Simul simultaneous mode simulates the two objects in motion over time 2
16. The Quadratic Formula Entering a Calculation Use the quadratic formula to solve the quadratic equations 3x 5x 2 0 and 2x x 3 0 Begin with the equation 3x2 5x 2 0 1 Press 3 A above MATH to store the coefficient of the x2 term Press ALPHA above LJ The colon allows you to enter more than one instruction on a line Press 5 B above APPS to store the coefficient of the X term Press to enter a new instruction on the same line Press 2 C above PRGM to store the constant Press ENTER to store the values to the variables A B and C The last value you stored is shown on the right side of the display The cursor moves to the next line ready for your next entry Press 0 ALPHA B 4 2nd v ALPHA B 4 ALPHA A ALPHA C MOGO 2 ALPHA A DJ to enter the expression for one of the solutions for the quadratic formula b Jb 4ae 2a J A 5 5 2 CE J A 5 5 230 a E BH CBEt 4ACI IAE ZAJE Activities 47 Converting to a Fraction You can show the solution as a fraction 1 Press to find one solution for the C B I B2 4Acoe 2 _ 2A equation 3x 5x 2 0 6566666667 The answer is shown on the right side of the display The cursor moves to the next line ready for you to enter the next expression Press to display the MATH menu Press 1 to select 1 Frac from the MATH menu 7 6666666667 When you press 1 Ans
17. The program continues until your guess is correct Program PROGRAM GUESS PlotsOff Func FnOff Radian ClrHome Asin BX gt Y1 Csin DX gt Y2 GraphStyle 1 1 GraphStyle 2 5 PENOLE 2 randiInt 1 10 gt 3A randiInt 1 10 gt B 0 gt C 0 gt D Define equations Set line and path graph styles Initialize coefficients Activities 65 72u gt Xmin 2m gt Xmax 1 2 gt Xscl 10 gt Ymin 10 gt Ymax 1 gt Yscl DispGraph Pause FnOn 2 Lbl Z Prompt C D DispGraph Pause If C A Text 1 1 C TS OK If CZA Teze 1 1 C TS WRONG If D B Text 1 50 D IS OK If DAB Text 1 50 D IS WRONG DispGraph Pause If C A and D B Stop Goto Z Set viewing window Display graph Prompt for guess Display graph Display results Display graph Quit if guesses are correct Graphing the Unit Circle and Trigonometric Curves Problem Using parametric graphing mode graph the unit circle and the sine curve to show the relationship between them Any function that can be plotted in Fune mode can be plotted in Par mode by defining the X component as T and the Y component as F T 66 Activities Procedure 1 2 Press MODE Select Par Simul and the default settings Press WINDOW Set the viewing window Tmin 0 Xmin 2 Ymin 3 Tmax 27 Xmax 7 4 Ymax 3 Tstep 1 Xscl 7 2 Yscl 1 Press y Turn of
18. display the RECEIVE menu Press 1 to select Feceive 1 Receive The message Waiting is displayed and the busy indicator is on 9 On the sending unit press LINK to display the SEND menu 10 Press 2 to select 2 All The All SELECT screen is displayed 11 Press until the selection cursor gt is next to A MATRX Press ENTER 12 Press until the selection cursor is next to Q REAL Press ENTER A square dot next to A and Q indicates that each is selected to send 13 On the sending unit press gt to display the SELECT TRANSMIT menu MT an A 14 On the sending unit press 1 to select 1 Transmit and begin transmission The receiving unit displays the message Receiving When the items are transmitted both units display the name and type of each transmitted variable TI 84 Plus LINK This chapter describes how to communicate with compatible TI units The TI 84 Plus has a USB port to connect and communicate with another TI 84 Plus or TI 84 Plus Silver Edition A USB unit to unit cable is included with the TI 84 Plus The TI 84 Plus also has an I O port using a I O unit to unit cable to communicate with e TI 83 Plus Silver Edition e TI 82 e TI 83 Plus e 6TI 73 e TIl 83 e CBL2 oraCBR 100 Communication Link Connecting Two Graphing Handhelds with a USB Unit to Unit Cable or an I O Unit to Unit Cable USB Unit to Unit Cable The TI 84 Plus USB link port is located at the top
19. polarity and diagram in the battery compartment e To replace the silver oxide battery remove the screw from the silver oxide battery cover and then remove the cover Install the Appendix B General Information new battery side up Replace the cover and secure it with the screw Use a SR44SW or 303 or equivalent silver oxide battery 4 Replace the battery compartment cover Turn the graphing handheld on and adjust the display contrast if necessary by pressing 4 or Important Things You Need to Know About Your TI 84 Plus TI 84 Plus Results There may be a number of reasons that your TI 84 Plus is not displaying the expected results however the most common solutions involve order of operations or mode settings Your handheld uses an Equation Operating System EOS which evaluates the functions in an expression in the following order 1 Functions that precede the argument such as square root sin or log 2 Functions that are entered after the argument such as exponents factorial r and conversions Powers and roots such as 245 or 5 square root 32 Permutations nPr and combinations nCr Multiplication implied multiplication and division Addition and subtraction Relational functions such as gt or lt Logic operator and pon aw Pw Logic operators or and xor Remember that EOS evaluates from left to right and calculations within parentheses are evaluated first You should use pa
20. the current graph and 7 Shade uses pattern and patres to shade the area bounded by lowerfunc upperfunc Xleft and Xright Shadey owerbound Draws the density DISTR upperbound d function for the 2 DRAW distribution specified by 3 Shadey degrees of freedom df and shades the area between lowerbound and upperbound 140 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item ShadeF owerbound Draws the density DISTR upperbound function for the F DRAW numerator df distribution specified by 4 ShadeF denominator df numerator df and denominator df and shades the area between lowerbound and upperbound ShadeNorm owerbound Draws the normal density DISTR upperbound 0 function specified by yu DRAW and c and shades the area 1 ShadeNorm between lowerbound and upperbound Shade_t owerbound Draws the density DISTR upperbound df function for the Student t DRAW distribution specified by 2 Shade_t degrees of freedom df and shades the area between lowerbound and upperbound Simul Sets mode to graph t MODE functions simultaneously Simul sin value Returns the sine of areal SIN number expression or list sin value Returns the arcsine of a 2nd SIN real number expression or list sinh value Returns the hyperbolic 2nd CATALOG sine of a real number sinh expression or list sinh 1 value Return
21. 1 al END RECEIVE 2 3 4 5 6 7 8 9 0 A B Cc D SALT eis SA Prom EESE GDB 2 Pre Matrix Real Complex Y Vars SString Apps AppVars Group Sendid SendOs Back Up Lists to TI184 Displays all items as selected including RAM and Flash applications Displays all items as deselected Displays all program names Displays all list names Displays list names L1 through L6 Displays all graph databases Displays all picture data types Displays all matrix data types Displays all real variables Displays all complex variables Displays all Y variables Displays all string variables Displays all software applications Displays all software application variables Displays all grouped variables Sends the Calculator ID number immediately You do not need to select SEND Sends operating system updates to another TI 84 Plus Silver Edition or TI 84 Plus You can not send the operating system to the TI 83 Plus product family Selects all RAM and mode settings no Flash applications or archived items for backup to another TI 84 Plus TI 84 Plus Silver Edition TI 83 Plus Silver Edition or to a TI 83 Plus When you select an item on the LINK SEND menu the corresponding SELECT screen is displayed 102 Communication Link Note Each SELECT screen except All is initially displayed with nothing pre selected
22. 27 on the home screen entry line Press Result HUM CF FRB Menus containing an arrow next to the final item continue on a second page 4 STE C C ENTER 270 ZERE ENTER 3 Example Change the FORMAT menu setting to display grid points on the graph Press FORMAT Getting Started 9 Press Result HEB Polarac ENTER Coordorf Axes Tay Labelon xProff GRAPH Example Turn off the display of grid points Press Result 2nd FORMAT ENTER Note Press QUIT or CLEAR to close the FORMAT menu and return to the home screen Summary of menus on the TI 84 Plus Press To display APPS APPLICATIONS menu to see a list of TI 84 Plus graphing handheld software applications APPS 2nd LINK LINK menu to communicate with another graphing handheld 2nd MEM MEMORY menu to check available memory and manage existing memory MATH MATH menu to select a math operation VARS VARS menu to select variable names to paste to the home screen 2nd STAT PLOT STAT PLOTS menu to define statistical plots 10 Getting Started Press To display nd CATALOG CATALOG menu to select from a complete alphabetic list of all TI 84 Plus built in functions and instructions 2nd FORMAT FORMAT menu to de
23. 4 Press 6 to graph the inequality in the standard window Press E to move to Y6 Then press lt and DJ to trace the inequality observing the value of Y n 62829707 Wal 6 Press Y Turn off Y4 Y5 and Y6 Enter equations to graph only the inequality ee ee oa Wea etd Mestad We AP BY eek y EY aks 7 Press TRACE Notice that the values of Y7 and Y8 are zero where the inequality is false n 489362 IY n 489362 IY Activities 61 Solving a System of Nonlinear Equations Problem Using a graph solve the equation x 2x 2cos x Stated another way solve the system of two equations and two unknowns y x 2x and y 2cos x Use ZOOM factors to control the decimal places displayed on the graph Procedure 1 62 Press MODE Select the default mode settings Press Y Turn off all functions and stat plots Enter the functions sVeBt 2K VoRecos hai Press 4 to select 4 ZDecimal The display shows that two solutions may exist points where the two functions appear to intersect Press L 4 to select 4 SetFactors from the ZOOM MEMORY menu Set XFact 10 and YFact 10 Press 2 to select 2 Zoom In Use 4 DJ GJ and to move the free moving cursor onto the apparent intersection of the functions on the right side of the display As you move the cursor notice that the X and Y values have one decimal place Press ENTER to zoom in Move the cursor over the intersection As
24. 84 Plus Silver Edition or TI 84 Plus 104 transpose matrix 149 trigonometric functions solving 28 T Test one sample test 145 turn clock off ClockOff 114 turn clock on ClockOn 114 turning TI 84 Plus on and off 2 tvm_FV future value 145 tvm_ interest rate 145 tvm_N payment periods 145 tvm_Pmt payment amount 145 tvm_PV present value 145 two proportion z confidence interval 2 PropZInt 133 two proportion z test 2 PropZTest 133 two sample F Test formula 156 two sample test formula 157 two variable statistics 2 Var Stats 146 U UnArchive 83 145 ungrouping 90 ungrouping variables 41 Index 191 user variables 154 uv uvAxes axes format 146 uw uwAxes axes format 146 V variables user and system 154 variance of a list variance 146 variance variance of a list 146 Vertical draw line 146 vw uvAxes axes format 146 wW Web axes format 146 While 146 X XJ root 149 xor Boolean exclusive or operator 146 Y Y Editor clearing 25 Z ZBox 23 147 ZDecimal 23 147 Zinteger 23 147 ZInterval one sample z confidence interval 147 Zoom In zoom in 23 147 Zoom Out zoom out 23 147 Zoomit zoom to fit function 23 147 ZoomRcl recall stored window 147 ZoomStat statistics zoom 23 148 ZoomSto store zoom window 148 ZPrevious use previous window 148 ZSquare set square pixels 23 148 ZStandard use standard window 23 148 Z Test one s
25. Screen Item tedf owerbound Computes the Student t DISTR upperbound df distribution probability DISTR between lJowerbound and 5 tcdf upperbound for the specified degrees of freedom df Text row column textl Writes text on graph DRAW text2 text n beginning at pixel DRAW row column where 0 Text 0 lt row lt 57 and 0 lt column lt 94 Then See If Then Time Sets sequence graphsto t FORMAT plot with respect to time Time timeCnv seconds Converts seconds to units CATALOG of time that canbe more timeCnv easily understood for evaluation The list is in days hours minutes seconds format Tinterval istname Computes a confidence t freqlist confidence level interval TESTS Data list input 8 Tinterval Tinterval X Sx n Computes arconfidence t confidence level interval TESTS Summary stats input 8 Tinterval tpdf x d Computes the probability DISTR density function pdf for DISTR the Student t distribution 4 tpdf at a specified x value with specified degrees of freedom df Trace Displays the graph and enters TRACE mode 144 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item TTest w0L listname Performs a test with t freqlist alternative frequency freqlist TESTS drawflag alternative 1 is lt 2 T Test Data list input alternative 0 is alternative 1 is gt drawflag 1 draws
26. and programs from a TI 83 to a TI 84 Plus if they fit in the RAM of the TI 84 Plus The RAM of the TI 84 Plus is slightly less than the RAM of the TI 83 Backing Up RAM Memory Warning H Back Up overwrites the RAM memory and mode settings in the receiving unit All information in the RAM memory of the receiving unit is lost Note Archived items on the receiving unit are not overwritten You can backup the contents of RAM memory and mode settings no Flash applications or archived items to another TI 84 Plus Silver Edition You can also backup RAM memory and mode settings to a TI 84 Plus To perform a RAM memory backup 1 Use a USB unit to unit cable to link two TI 84 Plus units or a TI 84 Plus and a TI 84 Plus Silver Edition together 2 On the sending unit press LINK and select H Back Up The MEMORYBACKUP screen displays i Buit On the receiving unit press Link gt to display the RECEIVE menu 4 Press on the receiving unit Press on the sending unit A WARNING Backup message displays on the receiving unit Communication Link 107 Press ENTER on the receiving unit to continue the backup Press 2 Quit on the receiving unit to cancel the backup and return to the LINK SEND menu Note If a transmission error is returned during a backup the receiving unit is reset Memory Backup Complete When the backup is complete both the sending graphing handheld and receiving graphing handheld display a confirma
27. and the Entry last entry is cleared when the program is executed 82 Memory and Variable Management CIrAllLists CIrAllLists sets the dimension of each list in RAM to 0 To clear all elements from all lists follow these steps 1 Press MEM to display the MEMORY menu 2 Select 4 CIrAllLists to paste the instruction to the home screen 3 Press ENTER to set the dimension of each list in memory to 0 ClrAllLists Dore To cancel CIrAllLists press CLEAR CIrAllLists does not delete list names from memory from the LIST NAMES menu or from the stat list editor Note If you select 4 CIrAllLists from within a program the CIrAllLists instruction is pasted to the program editor The lists are cleared when the program is executed Archiving and UnArchiving Variables Archiving and UnArchiving Variables Archiving lets you store data programs or other variables to the user data archive where they cannot be edited or deleted inadvertently Archiving also allows you to free up RAM for variables that may require additional memory Archived variables cannot be edited or executed They can only be seen and unarchived For example if you archive list L1 you will see that L1 exists in memory but if you select it and paste the name L1 to the home screen you won t be able to see its contents or edit it Note Not all variables may be archived Not all archived variables may be unarchived For example system variables including
28. and then press ENTER The interactive solver editor is displayed ASHE sintn H 8 A 8 H E bound 71 E99 1 Enter N 4 and B 6 to find the area A of a square with a distance B from center to vertex of 6 centimeters Activities 73 4 Press 4 4 to move the cursor onto A and then press SOLVE The solution for A is displayed on the interactive solver editor A HBesintn Ho 8 7 Hoge BEEBBERE 5 Now solve for B for a given area with various number of sides Enter A 200 and N amp 6 To find the distance B move the cursor onto B and then press SOLVE 6 Enter N 8 To find the distance B move the cursor onto B and then press SOLVE Find B for N 9 and then for N 10 Find the area given B 6 and N 10 100 150 1000 and 10000 Compare your results with z6 the area of a circle with radius 6 which is approximately 113 097 7 Enter B 6 To find the area A move the cursor onto A and then press SOLVE Find A for N 10 then N 100 then N 150 then N 1000 and finally N 10000 Notice that as N gets large the area A approaches 7B Now graph the equation to see visually how the area changes as the number of sides gets large 8 Press MODE Select the default mode settings 9 Press WINDOW Set the viewing window Xmin 0 Ymin 0 Xres 1 Xmax 200 Ymax 150 Xscl 10 Yscl 10 10 Press Y3 Turn off all functions and stat plots Enter the equation for the area Use X in place of
29. drawflag Summary stats input Performs a two sample F test alternative 1 is lt alternative 0 is alternative 1 is gt drawflag 1 draws results drawflag 0 calculates results t TESTS D 2 SampF Test 2 SampTint istname l Computes a two sample t listname2 confidence interval TESTS freqlistl freqlist2 pooled 1 pools variances 0 2 SampTint confidence level pooled pooled 0 does not pool Data list input variances 2 SampTint X Sx n Computes a two sample t X2 Sx2 n2 confidence interval TESTS confidence level pooled pooled 1 pools variances 0 2 SampTint Summary stats input pooled 0 does not pool variances Appendix A Tables and Reference Information 137 Function or Instruction Arguments 2 SampTTest istname1 listname2 freqlist1 freqlist2 alternative pooled drawflag Data list input Result Computes a two sample test alternative 1 is lt alternative 0 is alternative 1 is gt pooled 1 pools variances pooled 0 does not pool variances drawflag 1 draws results drawflag 0 calculates results Key or Keys Menu or Screen iItem t TESTS 4 2 SampTTest 2 SampTtest X Sx n 1 v2 Sx2 n2 alternative pooled drawflag Summary stats input Computes a two sample test alternative 1 is lt alternative 0 is alternative 1 is gt pooled 1 pools variances pooled 0 does not pool variances drawflag 1 draws results drawflag 0
30. equations below enter 3 3 and 24 for 3X 3Y and 24 in the first row and 2 1 13 for 2X 1Y and 13 in the second row Getting Started 37 Example Solve 3X 3Y 24 and 2X Y 13 Press Result 2nd MATRIX v Ife ENTER 2 ENTER 3 ENTER 3 ENTER 3 ENTER 2 4 ENTER 2 ENTER 1 ENTER 1 3 ENTER 2nd quit 2nd MATRIX C HAMES Geis EDIT ddet Zi dime 4 Fill J identitat 6i rande rbaugment i 38 Getting Started Press Result EEE G HAMES EDIT Bt coumSur Airef rrei 7 POW Siar OF Pot EPO DROW ENTER rref MATRIX ENTER rref lt 6 m ENTER You can interpret the resulting matrix as 105 represents 1X O0Y 5o0rX 5 0 1 3 represents OX 1Y 3 or Y 3 The solution to this system of equations is X 5 Y 3 Grouping Grouping lets you make a copy of two or more variables and store them in the Flash memory of the TI 84 Plus This function is similar to zipping a computer file and storing it For example suppose that you want to save data you collected for time temperature humidity and barometric pressure because you may need to use the data for another assignment Getting Started 39 Grouping lets you keep these lists together for future use Instead of trying to locate the correct lists and remember
31. executing the instruction or function Recursive problems return this error for example graphing the equation Y1 Y1 Branching out of an If Then For While or Repeat loop with a Goto also can return this error because the End statement that terminates the loop is never reached MemoryFull e You are unable to transmit an item because the receiving unit s available memory is insufficient You may skip the item or exit receive mode e During a memory backup the receiving unit s available memory is insufficient to receive all items in the sending unit s memory A message indicates the number of bytes the sending unit must delete to do the memory backup Delete items and try again MODE You attempted to store to a window variable in another graphing mode or to perform an instruction while in the wrong mode for example DrawInv in a graphing mode other than Func Appendix B General Information 173 Error Type NO SIGN CHNG Possible Causes and Suggested Remedies e The solve function or the equation solver did not detect a sign change e You attempted to compute I when FV N PMT and PV are all gt 0 or when FV N PMT and PV are all lt 0 e You attempted to compute irr when neither CFList nor CFO is 0 or when neither CF List nor CFO is 6 0 NONREAL ANS In Real mode the result of a calculation yielded a complex result This error is not returned during graphing The TI 84 Plus allows
32. freqlist alternative frequency freqlist TESTS drawflag alternative 1 is lt 1 Z Test Data list input alternative 0 is alternative 1 is gt drawflag 1 draws results drawflag 0 calculates results Z Test u0 0 X n Performs a z test t alternative drawflag alternative 1 is lt TESTS Summary stats input alternative 0 is 1 Z Test alternative 1 is gt drawflag 1 draws results drawflag 0 calculates results 148 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item ZTrig Replots the functions t immediately updating ZOOM the window variables to 7 ZTrig preset values for plotting trig functions Factorial value Returns factorial of value MATH PRB 4 Factorial list Returns factorial of list MATH elements PRB 4 Degrees notation value Interprets value as 2nd ANGLE degrees designates ANGLE degrees in DMS format 1 Radian angle Interprets angle as radians 2nd ANGLE ANGLE 3 Transpose matrix Returns a matrix in which MATRIX each element row MATH column is swapped with 2 T the corresponding element column row of matrix xthroot value Returns xthroot of value MATH 5 x yoo list Returns xthroot of list elements MATH 5 lis value Returns Jist roots of value MATH Bry listA listB Returns istA roots of istB MATH Bry Appendix A T
33. frequency 7 stdDev Sreqlist 142 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item Stop Ends program execution t PRGM returns to home screen CTL F Stop Store value gt variable Stores value in variable STO StoreGDB 7 Stores current graph in 2nd DRAW database GDBn STO 3 StoreGDB StorePic n Stores current picture in 2nd DRAW picture Picn STO 1 StorePic String gt Equ siring Y Converts string into an 2nd CATALOG var equation and stores itin String gt Equ Y var sub string begin length Returns a string that isa 2nd CATALOG subset of another string sub from begin to length sum lis start end Returns the sum of 2nd LIST elements of list from start MATH to end 5 sum tan value Returns the tangent of a__ TAN real number expression or list tan value Returns the arctangent of 2nd TAN areal number expression or list Tangent expression value Draws a line tangent to 2nd DRAW expression at X value DRAW 5 Tangent tanh value Returns hyperbolic 2nd CATALOG tangent of areal number tanh expression or list tanh value Returns the hyperbolic 2nd CATALOG arctangent of a real tanh 1 number expression or list Appendix A Tables and Reference Information 143 Function or Instruction Key or Keys Menu Arguments Result or
34. inverse cumulative normal distribution invNorm 125 invNorm inverse cumulative normal distribution 125 iPart integer part 125 irr internal rate of return 125 IS gt increment and skip 125 isClockOn is clock on 125 K key commands quick reference 46 L LabelOff 126 LabelOn 126 labels graph 126 program 126 Lbl label 126 Icm least common multiple 126 least common multiple Icm 126 least common multiples finding 27 length of string 126 less than lt 150 less than or equal to lt 150 Line draw line 126 linear regressions calculating 35 LINK RECEIVE menu 106 LINK SEND menu 102 linking receiving items 106 to a CBL 2 or CBR 101 to a PC or Macintosh 102 to a TI 84 Plus Silver Edition or Tl 84 Plus 107 transmitting items 99 two TI 84 Plus units 104 LinReg a bx linear regression 126 LinReg ax b linear regression 126 LinRegTTest linear regression test 127 List matr lists to matrix conversion 127 lists deleting from memory 81 In 127 LnReg logarithmic regression 127 log 127 Logistic regression 127 logistic regression formula 155 marked for deletion 94 Matrblist matrix to list conversion 127 MATRIX Editor 37 max maximum 128 maximum of a function fMax 119 mean 128 median 128 Med Med median median 128 Mem Mgmt Del menu 80 memory backing up 107 checking available 79 clearing all list elements from 83 clearing entries from 82 deleting
35. item e When you select 5 Quit ungrouping stops and no further changes are made To ungroup a group of variables 1 Press 2nd MEM to display the MEMORY menu em Mamt Del Clear Entries ClrAllLists Archive UnArchi ve Reset SHGrour 2 Select 8 Group to display the GROUP UNGROUP menu 3 Press gt to display the UNGROUP menu GROUP GR0 gt GROUPA 3 GROUPC 4 Press 4 and to move the selection cursor next to the group variable you want to ungroup and then press ENTER Ungrour ing GROUP 1 Done The ungroup action is completed Note Ungrouping does not remove the group from user data archive You must delete the group in user data archive to remove it Garbage Collection Garbage Collection Message If you use the user data archive extensively you may see a Garbage Collect message This occurs if you try to archive a variable when there is not enough free contiguous archive memory Memory and Variable Management 93 The Garbage Collect message lets you know an archive will take longer than usual It also alerts you that the archive will fail if there is not enough memory The message can also alert you when a program is caught in a loop that repetitively fills the user data archive Select No to cancel the garbage collection process and then find and correct the errors in your program The TI 84 Plus will attempt to rearrange the archived variables to make
36. list by typing the first letter of the item you need 4 Press ENTER Your selection is pasted on the home screen Notes e Items are listed in alphabetical order Those that do not start with a letter gt V and so on are at the end of the list e You can also paste from the CATALOG to an editor such as the Y Editor Getting Started 25 Example Enter the rand function on the home screen Press Result CATALOG R The A indicates randBin that Alpha lock is rand Trt g on rand randHorrn re ENTER randi Performing simple calculations Changing a decimal to a fraction Example Add 1 2 1 4 and change your answer to a fraction Press Result 1020164 ENTER lee 1 4 MATH 1 ENTER 26 Getting Started Finding the least common multiple Example Find the least common multiple of 15 and 24 Press Result MATH gt 4 4 ENTER 15 240 ENTER Finding the square root Example Find the square root of 256 Press Result 2nd v 25 6D T256 ENTER 16 Finding the factorial of numbers Example Compute the factorial of 5 and 30 Press Result 5 mA 4 T ENTER 126 30 PICC 4 ENTER a 126 2 652578598 E52 Scientific notation Getting Started 27 Solving trigonometric functions Example Find the sine of an angle of
37. matrices 37 cube 3 150 cube root 150 cubic regression CubicReg 115 CubicReg cubic regression 115 cumSum cumulative sum 115 cumulative sum cumSum 115 customer support and service 179 D dayOfWk day of week 116 days between dates dbd 116 162 dbd days between dates 116 162 decimal modes 19 decimals to fractions changing 26 decrement and skip DS lt 118 defragmenting 94 Degree angle mode 19 116 degrees notation 149 delete variable contents DelVar 116 deleting expressions 11 deleting items from memory 81 DependAsk 116 DependAuto 116 det determinant 116 determinant det 116 determining data in lists 32 DiagnosticOff 116 DiagnosticOn 117 dim dimension 117 dimensioning a list or matrix 117 Disp display 117 DispGraph display graph 117 displaying graphing plots 34 Displaying the Clock Settings 6 DispTable display table 117 distribution functions binomcdf 113 binompdf 113 y2cdf 113 y2pdf 113 Fcdf 144 Fpdf 144 geometcdf 121 geometpdf 121 invNorm 125 normalcdf 130 normalpdf 130 poissoncdf 132 poissonpdf 132 distribution shading instructions Shade_t 141 Shadey 140 ShadeF 141 ShadeNorm 141 division 152 division example 14 AList 127 DMS degrees minutes seconds entry notation 153 Dot plotting mode 117 DrawF draw a function 118 Drawinv draw inverse 118 DS lt decrement and skip 118 DuplicateName menu 106 E E expon
38. monthly payment will the principal allocation surpass the interest allocation Activities 77 78 Activities Memory and Variable Management Checking Available Memory MEMORY Menu At any time you can check available memory or manage existing memory by selecting items from the MEMORY menu To access this menu press MeN MEMORY 1 About Displays information about the graphing handheld 2 Mem Mgmt Del Reports memory availability and variable usage 3 Clear Entries Clears ENTRY last entry storage 4 ClrAllLists Clears all lists in memory 5 Archive Archives a selected variable 6 UnArchive UnArchives a selected variable 7 Reset Displays the RAM ARCHIVE and ALL menus 8 Group Displays GROUP and UNGROUP menus To check memory usage first press MEM and then select 2 Mem Mgmt Del RAM FREE displays the amount of available RAM ARC FREE displays the amount of available Archive Memory and Variable Management 79 Available RAM Archive and App Slots The TI 84 Plus TI 84 Plus Silver Edition has Archive RAM and Application App slot memory for you to use and manage The available RAM stores computations lists variables and data The available Archive lets you store programs Apps and groups The App slots are actually individual sectors of Flash ROM where Apps are stored Graphing Available RAM Available App Handheld Archive Slots TI 84 Plus 2
39. press LINK and select a data type and items to SEND 3 Press gt on the sending unit to display the TRANSMIT menu 104 Communication Link 4 On the other unit press LINK gt to display the RECEIVE menu Press on the receiving unit 6 Press ENTER on the sending unit A copy of the selected item s is sent to the receiving unit 7 Disconnect the link cable only from the receiving unit and connect it to another unit 8 Press 2nd LINK on the sending unit Select only the data type For example if the unit just sent a list select 4 LIST Note The item s you want to send are pre selected from the last transmission Do not select or deselect any items If you select or deselect an item all selections or deselections from the last transmission are cleared 10 Press gt on the sending unit to display the TRANSMIT menu 11 On the new receiving unit press LINK gt to display the RECEIVE menu 12 Press ENTER on the receiving unit 13 Press ENTER on the sending unit A copy of the selected item s is sent to the receiving unit 14 Repeat steps 7 through 13 until the items are sent to all additional units Sending to a TI 83 Plus or TI 83 Plus Silver Edition You can send all variables from a TI 84 Plus to a TI 83 Plus or TI 83 Plus Silver Edition except Flash applications with new features or programs with new features in them If archived variables on the TI 84 Plus are variable types r
40. real or LIST complex element in ist MATH 1 min 128 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item min ist4 listB Returns real or complex LIST list of the smaller of each MATH pair of elements in JistA 1 min and listB min value list Returns a real or complex 2nd LIST list of the smaller of value MATH or each list element 1 min valueA nCr valueB Returns the number of MATH combinations of valueA PRB taken valueB at a time 3 nCr value nCr list Returns a list of the MATH combinations of value PRB taken each element in ist 3 nCr at atime list nCr value Returns a list of the combinations of each PRB element in ist taken value 3 nCr at atime listA nCr listB Returns a list of the combinations of each PRB element in ZistA taken 3 nCr each element in istB at a time nDeriv expression Returns approximate variable value numerical derivative of MATH expression With respect to 8 nDeriv variable at value with specified e yNom effective rate Computes the nominal 1 Finance compounding periods interest rate CALC B gt Nom Normal Sets normal display mode t Normal Appendix A Tables and Reference Information 129 Function or Instruction Key or Keys Menu Arguments Result or Screen Item normalecdf owerbound Computes the normal DISTR upperbound 0 distributi
41. results drawflag 0 calculates results T Test u0 X Sx n Performs a test with t alternative drawflag frequency freqlist TESTS Summary stats input alternative 1 is lt 2 T Test alternative 0 is alternative 1 Is gt drawflag 1 draws results drawflag 0 calculates results tvm_FV N I PV PMT7 P Y C Y Computes the future value APPS 1 Finance CALC 6 tvm_FV tvm _I N PVPMT FV P Y C Y Computes the annual interest rate APPS 1 Finance CALC 3 tvm_I tvm_N I PV PMTFV P Y C Y Computes the number of payment periods APPS 1 Finance CALC 5 tvm_N tvm_Pmt N 1 PVFV P Y C Y Computes the amount of each payment APPS 1 Finance CALC 2 tvm_Pmt tvm_PV N 1 PMTFV Computes the present APPS 1 Finance P Y C Y value CALC 4 tvm_PV UnArchive Moves the specified 2nd MEM variables from the user data archive memory to RAM To archive variables use Archive 6 UnArchive Appendix A Tables and Reference Information 145 Xlistname with frequency freqlist Function or Instruction Key or Keys Menu Arguments Result or Screen Item uvAxes Sets sequence graphsto t FORMAT plot u n on the x axisand uv v n on the y axis uwAxes Sets sequence graphs to t FORMAT plot u n on the x axis and uw w n on the y axis 1 Var Stats LY istname Performs one variable STAT freqlist analysis on the data in CALC 1 1 Var Stats
42. rights that vary from jurisdiction to jurisdic tion Warranty Performance During the above one 1 year warranty period your defective product will be either repaired or replaced with a new or reconditioned model of an equivalent quality at Tl s option when the product is returned to the original point of purchase The repaired or replacement unit will continue for the warranty of the original unit or six 6 months whichever is longer Other than your cost to return the product no charge will be made for such repair and or replacement TI strongly recommends that you insure the product for value if you mail it Software Software is licensed not sold TI and its licensors do not warrant that the software will be free from errors or meet your spe cific requirements All software is provided AS IS Copyright The software and any documentation supplied with this product are protected by copyright Appendix B General Information 181 All Other Customers For information about the length and terms of the warranty refer to your package and or to the warranty statement enclosed with this product or con tact your local Texas Instruments retailer distributor 182 Appendix B General Information Index Symbols degrees notation 149 negation 151 subtraction 153 factorial 149 gt Store 143 gt dim assign dimension 117 not equal to 150 V square root 152 minutes notation 153
43. set TblStart Press 1 TABLE SETUP to set ATbl This adjusts the table setup to get a more accurate estimate of X for maximum volume Y1 Press TABLE Press and 4 to scroll the table Notice that the maximum value for Y1 is 410 26 which occurs at X 3 7 Therefore the maximum occurs where 3 6 lt X lt 3 8 Press TBLSET Press 3 C 6 to set TbiStart Press 01 ENTER to set ATbl Press TABLE and then press and 4 to scroll the table Four equivalent maximum values are shown 410 26 at X 3 67 3 68 3 69 and 3 70 Press or 4 to move the cursor to 3 67 Press D to move the cursor into the Y1 column The value of Y1 at X 3 67 is displayed on the bottom line in full precision as 410 261226 56 57 5H 59 a wi we Activities Press to display the other maximum X The value of Y1 at X 3 68 in full precision is 410 264064 at X 3 69 is 410 262318 and at X 3 7 is 410 256 56 57 5H 69 a wi we The maximum volume of the box would occur at 3 68 if you could measure and cut the paper at 01 centimeter increments Setting the Viewing Window You also can use the graphing features of the TI 84 Plus to find the maximum value of a previously defined function When the graph is activated the viewing window defines the displayed portion of the coordinate plane The values of the window variables determine the size of the viewing window 1
44. the Clock to set the time and date select the clock display format and turn the clock on and off The clock is turned on by default and is accessed from the mode screen Displaying the Clock Settings 1 Press 2 Press the to move the cursor to SET CLOCK 3 Press ENTER SET CLOCK DES Fell aT 6 Getting Started Changing the Clock settings 1 Press the gt or 9 to highlight the date FORMAT CEMA Dee Veni format you want example M D Y Press eno ENTER 2 Press to highlight YEAR Press and type the year example 2004 3 Press to highlight MONTH Press and type the number of the month a number from 1 12 4 Press to highlight DAY Press and type the date 5 Press to highlight TIME Press gt or 4 to highlight the time format you want Press J ENTER 6 Press to highlight HOUR Press and type the hour A number from 1 12 or 0 23 7 Press to highlight MINUTE Press and type the minutes A number from 0 FORMAT GR OCA YARD 59 2 ety 8 Press to highlight AM PM Press gt or 9 to highlight the format Press ENTER 9 To Save changes press v to select SAVE Press ENTER Error Messages If you type the wrong date for the month for ERR DATE example June 31 June does not have 31 days Quit you will receive an error message with two Goto choices Invalid day for month selected e To Quit the Clock application and return to
45. the center of the leftmost pixel Xmax is the center of the next to the rightmost pixel The rightmost pixel is reserved for the busy indicator AX is the distance between the centers of two adjacent pixels e In Full screen mode AX is calculated as Xmax Xmin 94 In G T split screen mode AX is calculated as Xmax Xmin 46 e Ifyou enter a value for AX from the home screen or a program in Full screen mode Xmax is calculated as Xmin AX 94 In G T split screen mode Xmax is calculated as Xmin AX 46 Ymin is the center of the next to the bottom pixel Ymax is the center of the top pixel AY is the distance between the centers of two adjacent pixels e In Full screen mode AY is calculated as Ymax Ymin 62 In Horiz split screen mode AY is calculated as Ymax Ymin 30 In G T split screen mode AY is calculated as Ymax Ymin 50 e Ifyou enter a value for AY from the home screen or a program in Full screen mode Ymax is calculated as Ymin AY 62 In Horiz split screen mode Ymax is calculated as Ymin AY 30 In G T split screen mode Ymax is calculated as Ymin AY 50 Cursor coordinates are displayed as eight character numbers which may include a negative sign decimal point and exponent when Float mode is selected X and Y are updated with a maximum accuracy of eight digits minimum and maximum on the CALCULATE menu are calculated with a tolerance of 1E 5 f x dx is calculated at 1E 3 The
46. the guidebook this key combination is indicated by T If you have several alphabetic characters to enter press A LOCK to avoid having to press the key multiple times This locks the alpha key in the On position until you press a second time to unlock it Note The flashing cursor changes to f when you press the key CLEAR and 2nd QUIT CLEAR key The key erases the home screen This key is located just below the four arrow keys at the upper right corner of the TI 84 Plus keyboard If you press during an entry it clears the entry line If you press when the cursor is on a blank line it clears everything on the home screen Although it does not affect the calculation it is frequently helpful to clear the previous work from the home screen before you begin a new problem As you work through this guide we recommend that you press each time you begin a new Example This removes the previous example from the home screen and ensures that the screen you see matches the one shown in the example uit If you accidentally press a menu key pressing CLEAR will usually return you to the home screen but in most cases pressing QUIT to leave the menu and return to the home screen Entering an expression An expression consists of numbers variables operators functions and their arguments that evaluate to a single answer 2X 2 is an expression Type the expression and then press ENTER to evaluate it To enter a func
47. times to find the correct lists 32 Getting Started Tell the TI 84 Plus which lists you want to plot Press Result 2nd STAT PLOT 4 ENTER turns plots off if any plots are on 2nd STAT PLOT ENTER ENTER turns Plot1 on Flot Flake Pu Fei Gal L din HH plist Je E Cad List ENTER enters L1 as the Xlist Getting Started 33 Press Result J List ENTER enters L2 as the Ylist lt C ENTER selects as the plotting mark CLEAR Note This step is optional and is not necessary unless there is a previous entry in the Y Editor If there are additional entries in the Y Editor press CLEAR until all are clear Display the plot Press Result GRAPH ZOOM 4 4 ENTER selects ZoomStat 34 Getting Started Note If you would like to add the regression line to a scatter plot adding Y1 to the end of the instruction LinReg ax b L1 L2 Y1 Press oJ to add Y1 Press to see the regression line Calculating a linear regression If you wish to calculate the linear regression for data you can do so using the LinReg instruction from the CALC menu Example Calculate the linear regression for the data entered in L1 and L2 Press Result STAN OA EDIT TESTE 1 1 Var Stats r2 VWar Stats
48. with LIST listnameA listname n elements from each OPS column in matrix A Matpr gt list Matr gt list matrix Fills a listname with LIST column listname elements from a specified OPS column in matrix A Matpr gt list Appendix A Tables and Reference Information 127 Function or Instruction Key or Keys Menu Arguments Result or Screen Item max valueA valueB Returns the larger of MATH valueA and valueB NUM 7 max max is Returns largest real or nd LIST complex element in ist MATH 2 max max ist4 listB Returns a real or complex nd LIST list of the larger of each MATH pair of elements in JistA 2 max and JistB max value list Returns a real or complex nd LIST list of the larger of value or MATH each ist element 2 max mean lis freglist Returns the mean of list 2nd LIST with frequency freqlist MATH 3 mean median ist freqlist Returns the median of ist 2nd LIST with frequency freqlist MATH 4 median Med Med X istname Fits a median median STAT Ylistname freqlist model to Xlistname and CALC regequ Ylisthame with frequency 3 Med Med freqlist and stores the regression equation to regequ Menu iitle textl Generates a menu of up t PRGM labell text7 label7 to seven items during CTL program execution c Menu min valueA valueB Returns smaller of valueA and valueB NUM 6 min min ist Returns smallest
49. you move the cursor notice that now the X and Y values have two decimal places Press ENTER to Zoom in again Move the free moving cursor onto a point exactly on the intersection Notice the number of decimal places Press 2nd CALC 5 to select 5 intersect Press to select the first curve and to select the second curve To guess move the trace cursor near the intersection Press ENTER What are the coordinates of the intersection point Press 4 to select 4 ZDecimal to redisplay the original graph Activities 9 Press ZOOM Select 2 Zoom In and repeat steps 4 through 8 to explore the apparent function intersection on the left side of the display Using a Program to Create the Sierpinski Triangle Setting up the Program This program creates a drawing of a famous fractal the Sierpinski Triangle and stores the drawing to a picture To begin press DID 1 Name the program SIERPINS and then press ENTER The program editor is displayed Program PROGRAM SIERPINS FnOff ClrDraw PlotsOff AxesOfft 0 gt Xmin 1 gt Xmax 7 Set viewing window 0 gt Ymin 1 gt Ymax rand gt X rand gt yY For K 1 3000 Beginning of For group rand gt N el If N lt 1 3 Then 5X gt X _ If Then group 2 DYDY End If 1 3 lt N and N lt 2 3 7 Then 2 5 G DFX PX _ If Then group 2 5 1 Y DY End If 2 3 lt N Then 5 1 X gt X _ _If Then group 5Y gt Y End Acti
50. 146 or Boolean operator 130 Output 131 Overwrite 92 106 Overwrite All 92 P P gt Rx P gt Ry polar to rectangular conversions 134 Par Param parametric graphing mode 131 Pause 131 performing simple calculations 26 permutations nPr 130 plot types modes 20 Plot1 131 Plot2 131 Plot3 131 PlotsOff 131 PlotsOn 132 plotting data 32 lists 33 Pmt_Bgn payment beginning variable 132 Pmt_End payment end variable 132 poissoncdf 132 poissonpdf 132 Pol Polar polar graphing mode 132 polar graphing mode Pol Polar 132 PolarGC polar graphing coordinates 132 power 4 151 power of ten 104 152 precautions battery 46 prgm program name 132 probability density function normalpdf 130 prod product 133 programming name prgm 132 Prompt 133 Pt Change 133 Pt Off 133 Pt On 133 PwrReg power regression 134 Pxl Change 134 Index 189 Pxl Off 134 Pxl On 134 pxl Test 134 Q QuadReg quadratic regression 134 QuartReg quartic regression 134 quick reference key commands 46 Quit 92 107 r radian notation 149 RpPr R gt P rectangular to polar conversions 137 Radian angle mode 19 135 radian notation 149 RAM ARCHIVE ALL menu 87 rand random number 135 randBin random binomial 135 randInt random integer 135 randM random matrix 135 randNorm random Normal 135 re0i polar complex mode 135 Real mode 20 135 real real part 135
51. 2 Press MODE Select Func and the default settings Press Y Turn off all functions and stat plots Enter the Y function to describe the fine Use the TEST menu operations to define the piecewise function Set the graph style for Y1 to dot Floti Flake Flats Press and set Xmin 2 Xscl 10 Ymin 5 and Yscl 10 Ignore Xmax and Ymax they are set by AX and AY in step 4 Press auiT to return to the home screen Store 1 to AX and then store 5 to AY AX and AY are on the VARS Window X Y secondary menu AX and AY specify the horizontal and vertical distance between the centers of adjacent pixels Integer values for AX and AY produce nice values for tracing Press to plot the function At what speed does the ticket exceed 250 ICR D SERA ENE tne a Graphing Inequalities Problem Graph the inequality 0 4x 3x 5 lt 0 2x 4 Use the TEST menu operations to explore the values of X where the inequality is true and where it is false Procedure 1 60 Press MODE Select Dot Simul and the default settings Setting Dot mode changes all graph style icons to dot in the Y editor Press Y Turn off all functions and stat plots Enter the left side of the inequality as Y4 and the right side as Y5 Activities WHEL FOS EHS WEB 2H WE 3 Enter the statement of the inequality as Y6 This function evaluates to 1 if true or 0 if false HE 4a SSS Wed atg eet eres Wee
52. 20 25 function as Y1 in terms of X Thos lets you enter X quickly without having to press ALPHA The highlighted sign indicates that Y1 is selected 50 Activities Defining a Table of Values The table feature of the TI 84 Plus displays numeric information about a function You can use a table of values from the function you just defined to estimate an answer to the problem 1 Press TBLSET above WINDOW to display TABLE SETUP the TABLE SETUP menu ote eae Press to accept TblStart 0 Press 1 to define the table increment ATbl 1 Leave Indpnt Auto and Depend Auto so that the table will be generated automatically Press TABLE above GRAPH to display the table 2 Notice that the maximum value for Y1 box s volume occurs when X is about 4 between 3 and 5 Press and hold to scroll the table until a negative result for Y1 is displayed Notice that the maximum length of X for this problem occurs where the sign of Y1 box s volume changes from positive to negative between 10 and 11 Press TBLSET Notice that TblStart has changed to 6 to reflect the first line of the table as it was last displayed In step 5 the first value of X displayed in the table is 6 Activities 51 Zooming In on the Table You can adjust the way a table is displayed to get more information about a defined function With smaller values for ATbl you can zoom in on the table 1 52 Press 3 to
53. 3 Select the type of data you want to delete or select 1 All for a list of all variables of all types A screen is displayed listing each variable of the type you selected and the number of bytes each variable is using For example if you select 4 List the LIST editor screen is displayed RAM FREE 24317 ORE FREE 1546K 1 12 t Le 12 Ls 12 4 Press 4 and v to move the selection cursor gt next to the item you want to delete and then press DEL The variable is deleted from memory You can delete individual variables one by one from this screen Note If you are deleting programs or Apps you will receive a message asking you to confirm this delete action Select 2 Yes to continue To leave any variable screen without deleting anything press quit which displays the home screen You cannot delete some system variables such as the last answer variable Ans and the statistical variable RegEQ Clearing Entries and List Elements Clear Entries Clear Entries clears the contents of the ENTRY last entry storage area To clear the ENTRY storage area follow these steps 1 Press MEM to display the MEMORY menu 2 Select 3 Clear Entries to paste the instruction to the home screen 3 Press ENTER to clear the ENTRY storage area Clear Entries Done To cancel Clear Entries press CLEAR Note If you select 3 Clear Entries from within a program the Clear Entries instruction is pasted to the program editor
54. 4 Kilobytes 491 Kilobytes 30 TI 84 Plus Silver 24 Kilobytes 1 5 Megabytes 94 Edition Displaying the About Screen About displays information about the TI 84 Plus Operating System OS Version Product Number Product Identification ID and Flash Application App Certificate Revision Number To display the About screen press MEM and then select 1 About Displays the type of graphing handheld Displays the Product ID Each Flash based graphing handheld has a unique FROD of 2 02 14 product ID which you ID OASC3 790F1 E262 may need if you contact technical support You can also use this 14 digit ID to Hele education ki cor register your handheld at education ti com or identify your handheld in the event that it is lost or stolen TI B4Flus Silver Edition 2 20 Displays the OS version As new software upgrades become available you can electronically upgrade your unit Displaying the MEMORY MANAGEMENT DELETE Menu Mem Mgmt Del displays the MEMORY MANAGEMENTI DELETE menu The two lines at the top report the total amount of available RAM RAM FREE and Archive ARC FREE memory By selecting menu items on this screen you can see the amount of memory each variable type is using This information can help you determine if you need to delete variables from memory to make room for new data such as programs or applications To check memory usage follow these steps 80 Memory and Variable Mana
55. 72 Press Result SIN 7 2 sint 2 3 9518565163 ANGLE ENTER ENTER If you are solving multiple problems using angles be sure that mode is set to Degree If you are in Radian mode and do not wish to change the mode you can use ANGLE ENTER as you did in this example to add the degree symbol to the calculation and override the Radian mode setting Adding Complex Numbers Example Add 3 5 2 31 Press Result 03E 5 God CHS HO 26 3 amp d 0 5 2 ENTER Note The i character is the second function of L the decimal key Using the equation solver You can use the TI 84 Plus equation solver to solve for a variable in an equation 28 Getting Started Example Find the roots for the equation X 13X 48 0 Press Result MATH 4 ENTER If you do not see then press CLEAR eqn 0 as shown above press 4 the up arrow and to erase the existing equation Press Result XITO EAE 13 Kion E 48 LYVER 45 ENTER m e a bound 1 E99 1 SOLVE Getting Started 29 Press Result 100 left rt SOLVE The two roots are 3 and 16 Since you did not enter a guess the TI 84 Plus used 0 the default guess and first returned the answer nearest 0 To find other roots you must enter another guess
56. 9 11 10 12 11 12 14 11 13 9 5 9 Procedure 1 58 Press 5 to select 5 SetUpEditor Enter list names WLEFT WRGHT MLEFT and MRGHT separated by commas Press ENTER The stat list editor now contains only these four lists Press 1 to select 1 Edit Enter into WLEFT the number of correct guesses each woman made using her left hand Women Left Press gt to move to WRGHT and enter the number of correct guesses each woman made using her right hand Women Right Likewise enter each man s correct guesses in MLEFT Men Left and MRGHT Men Right Press STAT PLOT Select 1 Plot1 Turn on plot 1 define it as a modified box plot 4 that uses WLEFT Move the cursor to the top line and select Plot2 Turn on plot 2 define it as a modified box plot that uses WRGHT Press Y Turn off all functions Press WINDOW Set Xscl 1 and Yscl 0 Press 9 to select 9 ZoomStat This adjusts the viewing window and displays the box plots for the women s results Press TRACE Women s left hand data lt 1 Women s right hand data Activities Use 4 and gt to examine minX Q1 Med Q3 and maxX for each plot Notice the outlier to the women s right hand data What is the median for the left hand For the right hand With which hand were the women more accurate guessers according to the box plots 9 Examine the men s results Redefine plot 1 to use MLEFT redefine plot 2 to use MRGHT Pres
57. ESID R T X Y Theta Statistic variables under Vars STATISTICS menu Yvars and the AppldList VERSION You have attempted to receive an incompatible variable version from another graphing handheld WINDOW RANGE A problem exists with the window variables e You defined Xmax lt Xmin or Ymax lt Ymin e You defined Omax lt Omin and Ostep gt 0 or vice versa e You attempted to define Tstep 0 e You defined Tmax lt Tmin and Tstep gt 0 or vice versa e Window variables are too small or too large to graph correctly You may have attempted to zoom in or zoom out to a point that exceeds the TI 84 Plus s numerical range ZOOM e A point or a line instead of a box is defined in ZBox e A ZOOM operation returned a math error Accuracy Information Computational Accuracy To maximize accuracy the TI 84 Plus carries more digits internally than it displays Values are stored in memory using up to 14 digits with a two digit exponent e You can store a value in the window variables using up to 10 digits 12 for Xscl Yscl Tstep and Ostep e Displayed values are rounded as specified by the mode setting with a maximum of 10 digits and a two digit exponent 176 Appendix B General Information e RegEQ displays up to 14 digits in Float mode Using a fixed decimal setting other than Float causes RegEQ results to be rounded and stored with the specified number of decimal places Xmin is
58. In this example you entered 100 Entering data into lists You can enter data into lists using either of two methods e Using braces and on the home screen or e Using the statistical list editor Using Example Store 1 2 3 and 4 to list 1 L1 Press Result 2nd 1 1 20 Cleasar4e 3 CJ 4 Bod D 30 Getting Started Press Result il 2 S 4l 2nd L1 T1 2 3 43 L1 n 01 2 3 4 Using the statistical list editor Example Store 5 6 7 and 8 to list 2 L2 Press Result STAT J ENTER gt 4 CLEAR ENTER if L2 already contains data ul ENTER 6 ENTER ENTER 8 ENTER N Getting Started 31 Press Result Quit Rad L2 ENTER displays the contents of the list on the home screen D 6 7 83 Plotting data When you have statistical data stored in lists you can display the data you have collected in a scatter plot xyLine histogram box plot or normal probability plot You will need to 1 Determine which lists contain your data 2 Tell the TI 84 Plus which lists of data you want to plot and define the plot 3 Display the plot Determine which lists contain your data Press Result STAT ENTER Note In some cases you may have several lists stored and you may have to press gt several
59. N Set the graph styles as shown Floti Flote Flot 11 Press TRACE After the graph is plotted press 100 to trace to X 100 Press 150 ENTER Press 188 ENTER Notice that as X increases the value of Y converges to x62 which is approximately 113 097 74 Activities Y2 nB2 the area of the circle is a horizontal asymptote to Y1 The area of an N sided regular polygon with r as the distance from the center to a vertex approaches the area of a circle with radius r nr as N gets large TiZAEESinET AA cosin iit i l a E ETA 4 it ra E EAEE Computing and Graphing Mortgage Payments Problem You are a loan officer at a mortgage company and you recently closed on a 30 year home mortgage at 8 percent interest with monthly payments of 800 The new home owners want to know how much will be applied to the interest and how much will be applied to the principal when they make the 240th payment 20 years from now Procedure 1 Press and set the fixed decimal mode to 2 decimal places Set the other mode settings to the defaults 2 Press APPS ENTER ENTER to display the TVM Solver Enter these values N 768 HH I 8 ae Note Enter a positive number 800 to show PMT as a cash inflow Payment values will be displayed as positive numbers on the graph Enter 0 for FV since the future value of a loan is 0 once it is paid in full Enter PMT END since payment is due at the end of a period 3 Move the cursor
60. Press WINDOW Set the viewing window Tmin 0 Xmin 13 Ymin 0 Tmax 12 Xmax 34 Ymax 31 Tstep 1 Xscl 10 Yscl 10 3 Press Y Turn off all functions and stat plots Enter the expressions to define the path of the ferris wheel and the path of the ball Set the graph style for X2T to path Floti Flokz Flot sHitble cos nT 63 ave eeL Oe thet doit epn ZeTEOSER VerBz2Tsint6e 3 bea 8 257 Note Try setting the graph styles to X1T and X2T which simulates a chair on the ferris wheel and the ball flying through the air when you press GRAPH Activities 69 70 Press to graph the equations Watch closely as they are plotted Notice that the ball and the ferris wheel passenger appear to be closest where the paths cross in the top right quadrant of the ferris wheel Press WINDOW Change the viewing window to concentrate on this portion of the graph Tmin 1 Xmin 0 Ymin 10 Tmax 3 Xmax 23 5 Ymax 25 5 Tstep 03 Xscl 10 Yscl 10 Press TRACE After the graph is plotted press gt to move near the point on the ferris wheel where the paths cross Notice the values of X Y and T nirsi cosim Yirzi i si T 41 H S 040F306 Y 19 52661E Press 7 to move to the path of the ball Notice the values of X and Y T is unchanged Notice where the cursor is located This is the position of the ball when the ferris wheel passenger passes the intersection Did the ball or the passenger reach the intersecti
61. RecallGDB 136 RecallPic 136 RectGC rectangular graphing coordinates 136 ref row echelon form 136 RegEQ regression equation variable 81 Removing a Faceplate 5 Repeat 136 RESET MEMORY menu 89 resetting all memory 89 archive memory 88 defaults 43 88 memory 88 RAM memory 88 Return 136 root J 149 round 136 row 136 rowSwap 137 rref reduced row echelon form 137 running applications 45 S Sci scientific notation mode 139 screen display modes 20 second functions 3 second modifier key 2nd 3 sector 94 Select 139 Send send to CBL 2 CBL or CBR 139 SendID 102 SendSW 102 Seq sequence graphing mode 139 seq sequence 139 Sequential graphing order mode 139 sequential graphing mode 20 setDate set date 139 setDtFmt set date format 139 setTime set time 140 setting graphing windows 21 setTmFmt set time format 140 SetUpEditor 140 Shade 140 Shade_t 141 Shadey 140 ShadeF 141 ShadeNorm 141 Simul simultaneous graphing order mode 141 simultaneous graphing mode 20 sin sine 141 sin arcsine 141 sine sin 141 sinh hyperbolic sine 141 sinh hyperbolic arcsine 141 SinReg sinusoidal regression 142 solve 142 solving equations 28 trigonometric functions 28 SortA sort ascending 142 SortD sort descending 142 square 2 151 square root V 152 190 Index startTmr start timer 142 statistical list editor 31 statistical variables calculati
62. Receive again to receive more items The receiving unit then displays a list of items received Press QUIT to exit the receive mode DuplicateName Menu During transmission if a variable name is duplicated the DuplicateName menu is displayed on the receiving unit DuplicateName 1 Rename Prompts to rename receiving variable 2 Overwrite Overwrites data in receiving variable 3 Omit Skips transmission of sending variable 4 Quit Stops transmission at duplicate variable When you select 1 Rename the Name prompt is displayed and alpha lock is on Enter a new variable name and then press ENTER Transmission resumes When you select 2 Overwrite the sending unit s data overwrites the existing data stored on the receiving unit Transmission resumes 106 Communication Link When you select 3 Omit the sending unit does not send the data in the duplicated variable name Transmission resumes with the next item When you select 4 Quit transmission stops and the receiving unit exits receive mode Receiving from a TI 84 Plus Silver Edition or TI 84 Plus The TI 84 Plus Silver Edition and the TI 84 Plus are totally compatible Keep in mind however that the TI 84 Plus has less Flash memory than a TI 84 Plus Silver Edition Receiving from a TI 83 Plus Silver Edition or TI 83 Plus The TI 84 Plus product family and the TI 83 Plus product family are totally compatible Receiving from a TI 83 You can transfer all variables
63. TIAL COSTS EXPENSES OR DAMAGES INCURRED BY THE CONSUMER OR ANY OTHER USER Some states provinces do not allow the exclusion or limitation of implied war ranties or consequential damages so the above limitations or exclusions may not apply to you Legal Remedies This warranty gives you specific legal rights and you may also have other rights that vary from state to state or province to province Warranty Performance During the above one 1 year warranty period your defective product will be either repaired or replaced with a reconditioned model of an equivalent quality at Tl s option when the product is returned postage prepaid to Texas Instruments Service Facility The warranty of the repaired or replacement unit will continue for the warranty of the original unit or six 6 months whichever is longer Other than the postage requirement no charge will be made for such repair and or replacement TI strongly rec ommends that you insure the product for value prior to mailing Software Software is licensed not sold TI and its licensors do not warrant that the software will be free from errors or meet your specific requirements All software is provided AS IS Copyright The software and any documentation supplied with this product are protected by copyright 180 Appendix B General Information Australia amp New Zealand Customers only One Year Limited Warranty for Commercial Electronic Product This Texas Instrum
64. XInt sum of interest 125 Prn sum of principal 132 multiplication 152 row 136 row 136 addition 152 concatenation 153 division 152 1 inverse 151 lt less than 150 equal to relational test 150 gt greater than 150 power 151 lt less than or equal to 150 gt greater than or equal to 151 2 square 151 3 cube 150 3 cube root 150 Dec to decimal conversion 116 gt DMS to degrees minutes seconds 117 Frac to fraction 121 gt Nom to nominal interest rate 129 Polar to polar 132 pRect to rectangular 136 subtraction key 13 negation key 13 ZOOM Zoom key 23 ALPHA alphabetic key 3 4 CLEAR Clear key 4 STO Store key 30 2nd second modifier key 3 2nd QUIT key command 4 Numerics 104 power of ten 152 1 PropZInt one proportion z confidence interval 133 1 PropZTest one proportion z test 133 1 Var Stats one variable statistics 146 2 PropZInt two proportion z confidence interval 133 2 PropZTest two proportion z test 133 2 SampF Test two sample F Test 137 2 SampTint two sample t confidence interval 137 2 SampT Test two sample test 138 2 SampZInt two sample z confidence interval 138 2 SampZTest two sample z test 138 2 Var Stats two variable statistics 146 A a bi rectangular complex mode 112 about 79 abs absolu
65. ables and Reference Information 149 Function or Instruction Key or Keys Menu Arguments Result or Screen Item Cube value Returns the cube of a real or complex number MATH expression list or square 3 3 matrix Cube root XN value Returns the cube root of a real or complex number MATH expression or list 43 Equal valueA valueB Returns 1 if TEST valueA valueB ReturnsO TEST if valueA valueB valueA 1 and valueB can be real or complex numbers expressions lists or matrices Not equal Returns 1 if TEST valueA valueB valueA valueB Returns 0 TEST if valueA valueB valueA 2 4 and valueB can be real or complex numbers expressions lists or matrices Less than Returns 1 if TEST valueA lt valueB valueA lt valueB ReturnsO TEST if valueA gt valueB valueA 5 lt and valueB can be real or complex numbers expressions or lists Greater than Returns 1 if TEST valueA gt valueB valueA gt valueB ReturnsO TEST if valueA lt valueB valueA 3 gt and valueB can be real or complex numbers expressions or lists Less than or equal Returns 1 if TEST valueAsvalueB valueA lt valueB Returns 0 TEST if valueA gt valueB valueA 6 lt and valueB can be real or complex numbers expressions or lists 150 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item Greater than or equal Ret
66. ables and applications in user data archive Note Before you reset all RAM memory consider restoring sufficient available memory by deleting only selected data To reset all RAM memory or RAM defaults on the TI 84 Plus follow these steps 1 From the RAM ARCHIVE ALL menu select 1 All RAM to display the RESET RAM menu or 2 Defaults to display the RESET DEFAULTS menu fin wal 2 If you are resetting RAM read the message below the RESET RAM menu e To cancel the reset and return to the home screen press ENTER e To erase RAM memory or reset defaults select 2 Reset Depending on your choice the message RAM cleared or Defaults set is displayed on the home screen Resetting Archive Memory When resetting archive memory on the TI 84 Plus you can choose to delete from user data archive all variables all applications or both variables and applications To reset all or part of user data archive memory follow these steps 1 From the RAM ARCHIVE ALL menu press gt to display the ARCHIVE menu 88 Memory and Variable Management 2 Select one of the following 1 Vars to display the RESET ARC VARS menu fin Reset Fesettingd Vars erases all data and Programs from Archive 2 Apps to display the RESET ARC APPS menu fins Reset from Archive 3 Read the message below the menu e To cancel the reset and return to the home screen press ENTER e To continue with the reset select 2 R
67. additional room Responding to the Garbage Collection Message e To cancel select 1 No e Ifyou choose 1 No the message i i a ERR ARCHIVE FULL will be displayed e To continue archiving select 2 Yes If you select 2 Yes the process message Garbage Collecting or Defragmenting will be displayed Note The process message Defragmenting is displayed whenever an application marked for deletion is encountered Garbage collection may take up to 20 minutes depending on how much of archive memory has been used to store variables After garbage collection depending on how much additional space is freed the variable may or may not be archived If not you can unarchive some variables and try again Why Is Garbage Collection Necessary The user data archive is divided into sectors When you first begin archiving variables are stored consecutively in sector 1 This continues to the end of the sector An archived variable is stored in a continuous block within a single sector Unlike an application stored in user data archive an archived variable cannot cross a sector boundary If there is not enough space left in the sector the next variable is stored at the beginning of the next sector Typically this leaves an empty block at the end of the previous sector 94 Memory and Variable Management Sector 1 Empty block variable D Sector 2 Depending on its size variable D is stored in one of these locations S
68. aised nd e to a list of powers Exponent Returns value times 10 to 2nd FE valueEexponent the exponent Exponent Returns ist elements times 2nd FE listEexponent 10 to the exponent Exponent Returns matrix elements 2nd FE matrixEexponent times 10 to the exponent Eff nominal rate Computes the effective APPS 1 Finance compounding periods interest rate CALC C Eff Else See If Then Else End Identifies end of For t If Then Else Repeat or CTL While loop 7 End Eng Sets engineering display t mode Eng Equ gt String Y var Strn Converts the contents of CATALOG a Y var to a string and EquString stores it in Stra expr string Converts string to an CATALOG expression and executes expr it 118 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item ExpReg XJistname Fits an exponential STAT Ylistname freqlist regequ regression model to CALC Xlistname and Ylistname 0 ExpReg with frequency freqlist and stores the regression equation to regequ ExprOff Turns off the expression t FORMAT display during TRACE ExprOff ExprOn Turns on the expression t FORMAT display during TRACE ExprOn Fedf owerbound Computes the F DISTR upperbound distribution probability DISTR numerator df between lowerbound and 9 Fcdf denominator df upperbound for the specified numerator df degrees of freedom a
69. ak during transmission You attempted to perform a backup from a TI 82 to a TI 84 Plus You attempted to transfer data other than L1 through L6 from a TI 84 Plus to a TI 82 You attempted to transfer L1 through L6 from a TI 84 Plus to a TI 82 without using 5 Lists to TI82 on the LINK SEND menu ID NOT FOUND This error occurs when the SendID command is executed but the proper graphing handheld ID cannot be found ILLEGAL NEST You attempted to use an invalid function in an argument to a function such as seq within expression for seq Appendix B General Information 171 Error Type INCREMENT Possible Causes and Suggested Remedies The increment in seq is 0 or has the wrong sign This error is not returned during graphing The TI 84 Plus allows for undefined values on a graph The increment in a For loop is 0 INVALID You attempted to reference a variable or use a function where it is not valid For example Yn cannot reference Y Xmin AX or TbIStart You attempted to reference a variable or function that was transferred from the TI 82 and is not valid for the TI 84 Plus For example you may have transferred Un 1 to the TI 84 Plus from the TI 82 and then tried to reference it In Seq mode you attempted to graph a phase plot without defining both equations of the phase plot In Seq mode you attempted to graph a recursive sequence without having input the correct number of initial co
70. ample z test 148 ZTrig trigonometric window 23 149 192 Index
71. an of each list the standard deviation of each list Sxi the length of each list mt the mean of all lists x 2 SampFlest Below is the definition for the 2 SampF Test Sx1 Sx2 Sample standard deviations having n 1 and n 1 degrees of freedom df respectively 156 Appendix A Tables and Reference Information 2 F F statistic Sx dfx n 1 na 1 Fpdf with degrees of freedom df n 1 and n 1 p reported p value 2 SampF Test for the alternative hypothesis o gt 04 Q p n 1m Dax F 2 SampF Test for the alternative hypothesis o lt 3 F p f fxn l1 n l dx 0 2 SampF Test for the alternative hypothesis o4 o2 Limits must satisfy the following Lbnd Z f fanny 1n 1 dx n 1n Dax 0 Ubna where Lbnd Ubnd lower and upper limits The F statistic is used as the bound producing the smallest integral The remaining bound is selected to achieve the preceding integral s equality relationship 2 SampTTest The following is the definition for the 2 SampTTest The two sample t statistic with degrees of freedom df is Appendix A Tables and Reference Information 157 where the computation of S and df are dependent on whether the variances are pooled If the variances are not pooled a Sx Sa ni No 2 ny nN ee Eie a nj ll ny a ee Ny otherwise Si n 1 Sx 2 n 1 Sx P df saiodi n ny df n n 2 and Sxp is the poole
72. an undefined list is turned on SYNTAX The command contains a syntax error Look for misplaced functions arguments parentheses or commas Appendix A displays the arguments and punctuation needed to execute the function or instruction For example stdDev ist freqlist is a function of the TI 84 Plus The arguments are shown in italics The arguments in brackets are optional and you need not type them You must also be sure to separate multiple arguments with a comma For example stdDev list freqglist might be entered as stdDev L1 or stdDev L1 L2 since the frequency list or freqlist is optional TOL NOT MET You requested a tolerance to which the algorithm cannot return an accurate result UNDEFINED You referenced a variable that is not currently defined For example you referenced a stat variable when there is no current calculation because a list has been edited or you referenced a variable when the variable is not valid for the current calculation such as a after Med Med VALIDATION Electrical interference caused a link to fail or this graphing handheld is not authorized to run the application Appendix B General Information 175 Error Type VARIABLE Possible Causes and Suggested Remedies You have tried to archive a variable that cannot be archived or you have tried to unarchive an application or group Examples of variables that cannot be archived include e Real numbers LR
73. appens Storing a value Values are stored to and recalled from memory using variable names Example Store 25 to variable A and multiply A by 2 Press Result 25 A 27H Getting Started 15 Press Result ENTER 2547 25 2 A 254A ENTER 24A 25 ba ALPHA A x 2 ENTER Example Find the value of 2X 5X2 7X 10 when X 0 5 stores 5 to X Press Result 5 STO gt X TO n ENTER N KT A 3 5 X 1 0 n x2 3 7 X 1 e n 10 ENTER Soe e 283 54 2 F N14 12 You can remove a value stored or by storing 0 to the variable to a variable using the DELVAR function Getting Started Example Delete the value 5 stored to X above by storing 0 Press Result 0 H ENTER 9 X T n B ENTER 5 Graphing a function Y Displays the Y Editor where you can enter one or more functions or expressions to graph WINDOW Lets you set the viewing window to produce the best display of your graph TI 84 Plus Silver Edition 4 TEXAS INSTRUMENTS X 1 0 n Lets you enter one of four symbols X if you are in Function mode T in Parametric mode 8 in Polar mode or n in Sequence mode ZOOM Lets you quickly adjust the window to a predefined setting GRAPH Di
74. are stored to A B and C respectively 4 Press 2nd ENTRY to recall the store SSH 1456 30 instruction and then press ENTRY again to recall the quadratic formula expression EAE aer b Nb 4ac 2a 5 Press to find one solution for the SSH 1465 30 equation 2x x 3 0 E B eB2 4AC33 F a 1 1989578817 Activities 49 6 Press ENTRY repeatedly until this quadratic formula expression is displayed 1 1989575611 pap cage CBE 4AC aoe 2a 2 25 1 1989578811 7 Press to find the other solution for the quadratic equation 2x x 3 0 a J cBt 4ACI IAE B 2 2 B 2 t zA 2 Co zA 2 Note An alternative for solving equations for real numbers is to use the built in Equation Solver Box with Lid Defining a Function Take a 20 cm x 25 cm sheet of paper and cut X x X squares from two corners Cut X x 12 5 cm rectangles from the other two corners as shown in the diagram below Fold the paper into a box with a lid What value of X would give your box the maximum volume V Use the table and graphs to determine the solution Begin by defining a function that describes the volume of the box From the diagram 2X A 20 2X 2B 25 V A B X Substituting V 20 2X 25 2 X X 1 Press Y to display the Y editor which is where you define functions for tables and graphing 2 Press 20 2 25 2 20 Floti Flote Plots to define the volume b1 Bc 20
75. are trying to perform an operation that references one or more lists or matrices whose dimensions do not match For example multiplying L1 L2 where L1 1 2 3 4 5 and L2 1 2 produces an ERR DIM MISMATCH error because the number of elements in L1 and L2 do not match DIVIDE BY 0 e You attempted to divide by zero This error is not returned during graphing The TI 84 Plus allows for undefined values on a graph e You attempted a linear regression with a vertical line 170 Appendix B General Information Error Type Possible Causes and Suggested Remedies DOMAIN You specified an argument to a function or instruction outside the valid range This error is not returned during graphing The TI 84 Plus allows for undefined values on a graph See Appendix A You attempted a logarithmic or power regression with a X or an exponential or power regression with a Y You attempted to compute Prn or XInt with pmt2 lt pmtl DUPLICATE You attempted to create a duplicate group name Duplicate Name A variable you attempted to transmit cannot be transmitted because a variable with that name already exists in the receiving unit EXPIRED You have attempted to run an application with a limited trial period which has expired Error in Xmit e The TI 84 Plus was unable to transmit an item Check to see that the cable is firmly connected to both units and that the receiving unit is in receive mode You pressed to bre
76. calculates results t TESTS 4 2 SampTTest 2 SampZInt o1 02 LJistname1 listname2 freqlistl freqlist2 confidence level Data list input Computes a two sample z confidence interval t TESTS 9 2 SampZint 2 SampZint o1 02 X1 n1 X2 n2 confidence level Summary stats input Computes a two sample z confidence interval t TESTS 9 2 SampZint 2 SampZTest o1 0 gt LJistname1 listname2 freqlistl freqlist2 alternative drawflag Data list input Computes a two sample z test alternative 1 is lt alternative 0 is alternative 1 is gt drawflag 1 draws results drawflag 0 calculates results t TESTS 3 2 SampZTest 138 Appendix A Tables and Reference Information Function or Instruction Arguments 2 SampZTest o1 02 X1 n1 X2 n2 alternative drawflag Summary stats input Result Computes a two sample z test alternative 1 is lt alternative 0 is alternative 1 is gt drawflag 1 draws results drawflag 0 calculates results Key or Keys Menu or Screen item t TESTS 3 2 SampZTest Sci Sets scientific notation t display mode Sci Select Xlistname Selects one or more LIST Ylistname specific data points from OPS a scatter plot or xyLine 8 Select plot only and then storees the selected data points to two new lists Xlistname and Ylistname Send variable Sends contents of variable t to the CBL 2 or CBR 1 0 Syste
77. ceicted E E A T T 46 Battery Precautions 0 ccccccceeeeeeeeceeeeeeeneeeeeeeeeaaeeeeeeeseeeeeeeessaeees 46 r PACUIVITIOS wis sustisceaeaecne ded E A 47 The Quadratic Formula ccccccccccceceeeeeccccceeceeesceeueeeeeeeeseeeeeneeeeeees 47 Box WIC LIG EEEE E EE 50 Comparing Test Results Using Box Plots cccsssceeesteeeeeeeees 57 Graphing Piecewise FUNCTIONS cccecccceeeeeeeeteeeeeeeeeeneeteseeeees 59 Graphing Inequalities cccccccccscceeeneeceeeeeeeeseeeeseeeeeseeeeseeeeeees 60 Solving a System of Nonlinear Equations ccccsccesessesereeeees Using a Program to Create the Sierpinski Triangle Graphing Cobweb Attractors ccccscccesseeeeeeteeeseteeeeeees Using a Program to Guess the Coefficients ccccscsseeeseeenees Graphing the Unit Circle and Trigonometric Curves 5 66 Finding the Area between Curves Using Parametric Equations Ferris Wheel Problem 0 68 Demonstrating the Fundamental Theorem of Calculus 71 Computing Areas of Regular N Sided Polygons Computing and Graphing Mortgage Payments 3 Memory and Variable Management ccesssseeeeees Checking Available Memory ccsssccceeceeeeeeeeeseeeeneeeeeeeeeeees Deleting Items from Memory Clearing Entries and List Elements Archiving and UnArchiving Variables c ccccsccsssceeesereeeeeees Resetting the TI 84 PluS
78. ceiving unit Items sent from user data archive flash of the sending unit are transmitted to user data archive flash of the receiving unit After all selected items have been transmitted the message Done is displayed on both calculators Press and to scroll through the names Sending to a TI 84 Plus Silver Edition or TI 84 Plus You can transfer variables all types programs and Flash applications to another TI 84 Plus Silver Edition or TI 84 Plus You can also backup the RAM memory of one unit to another Note Keep in mind that the TI 84 Plus has less Flash memory than the TI 84 Plus Silver Edition e Variables stored in RAM on the sending TI 84 Plus Silver Edition will be sent to the RAM of the receiving TI 84 Plus Silver Edition or TI 84 Plus e Variables and applications stored in the user data archive of the sending TI 84 Plus Silver Edition will be sent to the user data archive of the receiving TI 84 Plus Silver Edition or TI 84 Plus After sending or receiving data you can repeat the same transmission to additional TI 84 Plus Silver Edition or TI 84 Plus units from either the sending unit or the receiving unit without having to reselect data to send The current items remain selected However you cannot repeat transmission if you selected All or All To send data to an additional TI 84 Plus Silver Edition or a TI 84 Plus 1 Use a USB unit to unit cable to link two units together 2 On the sending unit
79. column O lt row lt 62 POINTS and 0 lt column lt 94 4 PxI On pxl Test row column Returns 1 if pixel row 2nd DRAW column is on 0 if it is off POINTS 0 lt row lt 62 and 7 pxl Test 0 lt column lt 94 P gt Rx 7 0 Returns X given polar 2nd ANGLE coordinates r and 9 or a ANGLE list of polar coordinates 7 P gt Rx P gt Ry 7 0 Returns Y given polar 2nd ANGLE coordinates r and 9 or a ANGLE list of polar coordinates 8 P gt Ry QuadReg XJistname Fits a quadratic regression STAT Ylistname freqlist model to X istname and CALC regequ Ylisthame with frequency 5 QuadReg freqlist and stores the regression equation to regequ QuartReg X istname Fits a quartic regression STAT Ylistname freqlist model to X istname and CALC regequ Ylistname with frequency 7 QuartReg freqlist and stores the regression equation to regequ 134 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item Radian Sets radian angle mode t Radian rand numtrials Returns a random number between Oand 1 PRB for a specified number of 1 rand trials numtrials randBin numtrials prob Generates and displays a numsimulations random real number from PRB a specified Binomial 7 randBin distribution randint lower upper Generates and displays a Lnumtrials random integer withina PRB range specified by ower 5 randiIn
80. complex conjugate of a complex CPX number or list of complex 1 conj numbers 114 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item Connected Sets connected plotting t MODE mode resets all Y editor Connected graph style settings to CoordOff Turns off cursor 2nd FORMAT coordinate value display CoordOff CoordOn Turns on cursor 2nd FORMAT coordinate value display CoordOn cos value Returns cosine of a real Cos number expression or list cos value Returns arccosine of a 2nd cos real number expression or list cosh value Returns hyperbolic cosine 2nd CATALOG of a real number cosh expression or list cosh 7 value Returns hyperbolic 2nd CATALOG arccosine of a real cosh 1 number expression or list CubicReg X istname Fits a cubic regression STAT Ylistname freqlist model to Xlistname and CALC regequ Ylistname with frequency 6 CubicReg freqlist and stores the regression equation to regequ cumSum iis Returns a list of the LIST cumulative sums of the OPS elements in dist starting 6 cumSum with the first element cumSum matrix Returns a matrix of the MATRIX cumulative sums of matrix MATH elements Each elementin O cumSum the returned matrix is a cumulative sum of a matrix column from top to bottom Appendix A Tables and Reference Information 115 Func
81. ctrical interference has occurred in the transmission BAD GUESS e Ina CALC operation you specified a Guess that is not between Left Bound and Right Bound e For the solve function or the equation solver you specified a guess that is not between lower and upper e Your guess and several points around it are undefined Examine a graph of the function If the equation has a solution change the bounds and or the initial guess Appendix B General Information 169 Error Type BOUND Possible Causes and Suggested Remedies e Ina CALC operation or with Select you defined Left Bound gt Right Bound e In fMin fMax solve or the equation solver you entered lower upper BREAK You pressed the key to break execution of a program to halt a DRAW instruction or to stop evaluation of an expression DATA TYPE You entered a value or variable that is the wrong data type e For a function including implied multiplication or an instruction you entered an argument that is an invalid data type such as a complex number where a real number is required See Appendix A and the appropriate chapter e In an editor you entered a type that is not allowed such as a matrix entered as an element in the stat list editor See the appropriate chapter e You attempted to store an incorrect data type such as a matrix to a list DIM MISMATCH Your handheld displays the ERR DIM MISMATCH error if you
82. cts value from list E list value elements Subtraction Subtracts istB elements B listA listB from listA elements Subtraction Subtracts matrixB B matrixA matrixB elements from matrixA elements Minutes Interprets minutes angle 2nd ANGLE notation degrees minutes measurement as minutes ANGLE seconds 2 Seconds notation Interprets seconds angle ALPHA degrees minutes seconds measurement as seconds Appendix A Tables and Reference Information 153 Variables User Variables The TI 84 Plus uses the variables listed below in various ways Some variables are restricted to specific data types The variables A through Z and 9 are defined as real or complex numbers You may store to them The TI 84 Plus can update X Y R 8 and T during graphing so you may want to avoid using these variables to store nongraphing data The variables list names L1 through L6 are restricted to lists you cannot store another type of data to them The variables matrix names A through J are restricted to matrices you cannot store another type of data to them The variables Pic1 through Pic9 and PicO are restricted to pictures you cannot store another type of data to them The variables GDB1 through GDB9 and GDBO are restricted to graph databases you cannot store another type of data to them The variables Str1 through Str9 and StrO are restricted to strings you cannot store another type of data to them Exce
83. d on rjarzg enieeee HIn the Y1 function The function that you are tracing is displayed in the top left corner 5 Press lt and gt to trace along Y1 one X dot at a time evaluating Y1 at each X You also can enter your estimate for the TIED ZRNE MA maximum value of X 6 Press 3 L 8 When you press a number key while in TRACE the X prompt is displayed in the bottom left corner 54 Activities 7 Press ENTER WIECE0 E2H WEES 2 HIH The trace cursor jumps to the point on the Y1 function evaluated at X 3 8 uera YS 48 944 8 Press g and oJ until you are on the WECeg Eeeo ees maximum Y value This is the maximum of Y 1 X for the X pixel values The actual precise maximum may lie between pixel values HES eS4O4S TE Zooming In on the Graph To help identify maximums minimums roots and intersections of functions you can magnify the viewing window at a specific location using the ZOOM instructions MEMORY Hebe zoom Irn Zoom Out i2Decimal 1 Press to display the ZOOM menu This menu is a typical TI 84 Plus menu To select an item you can either press the number or letter next to the item or you can press until the item number or letter is highlighted and then press ENTER 2 Press 2 to select 2 Zoom In 2o4qUere Standard 3 4 bal 6 r zT Trig The graph is displayed again The cursor has changed to indicate that you are using a ZOOM instruction
84. d variance 158 Appendix A Tables and Reference Information Financial Formulas This section contains financial formulas for computing time value of money amortization cash flow interest rate conversions and days between dates Time Value of Money TE e7 ln x D1 where PMT 0 y C Y P Y x 01 x 1 C Y C Y compounding periods per year P Y payment periods per year 1 interest rate per year i FV PV _1 where PMT 0 The iteration used to compute i n N 0 PV PMTx G Li FVx 1 i l I 100 x C Yx e Met _ 1 where x i y PIY CY G 1 ixk where k 0 for end of period payments k 1 for beginning of period payments i ae cre PMT x G PVxi In 1 i Appendix A Tables and Reference Information 159 where i 0 N PV FV PMT where i 0 PMT PVs te i G Ca el where i 0 PMT PV FV N where i 0 PMTxG 1 PMTxG PV FY x l 1 2 l where i 0 FV PMTxN where i 0 PMT xG PMTxG FV 1 i x Pv i i where i 0 FV PV PMTxN where i 0 Amortization If computing bal pmt2 npmt Let bal 0 RND PV Iterate from m 1 to pmt2 I RND RND12 i x bal m 1 oe bal m 1 I RND PMT 160 Appendix A Tables and Reference Information then bal bal pmt2 Prn bal pmt2 bal pmtl gt XInt pmt2 pmtl 1 x RND PMT Prn wh
85. dition If the CD is not available you can download a copy of the electronic guidebook from the Texas Instruments web page at education ti com guides The TI 84 Plus TI 84 Plus Silver Edition has some graphing handheld software applications Apps preinstalled For information about these Apps see the electronic documentation files on the Texas Instrument web page at education ti com guides About this book This guidebook gives a quick overview of each topic along with keystroke instructions for easy examples All examples assume that the TI 84 Plus is using default settings For complete information on any topic see the electronic guidebook on the CD that came with your graphing handheld Table of Contents 1 Getting Started 2 cccccceeeeceeeeeeeeeeeeee eee eeeeeeeeeeeeeeneeeeenanees 1 TI 84 PIUS KEY Shisni sinnini enanada a aaa 1 Turning the TI 84 Plus on and Off cccccesseesessseeeseeestesseeeseeesnes 2 Homescreen ionann anea leas a aeaa aaa AAA aTa ai 2 and E AE E DEEA AEE N T 3 and QUIT E E E AE A 4 Entering an CXPIeSSiON cccccccccecceeeeeeeneeeeeeeeeeeeeeeeseeeaeeeeeseneeeeeess 4 Interchangeable Faceplates cccsscccseseeeeseeeeseeeeeeeeeesneeeseeeees 5 OEI a Eo E TAEA 6 TE8S4 Pluss Menus is aeeie eed aae a oa e ea a aa a a ad eves 8 Editing and deleting ccccccccssseceeeeeeeeeeeeeseeeeeseeeeeseneeesseeeseaes 11 Using 2 ANG C saipa ee eraa aaa r eS 13 USING Parenthese
86. e included in a group To create a group of variables 1 Press MEM to display the MEMORY menu em Mamt Del Clear Entries ClrAllLists Archive UnArchi ve Reset SHGr our 2 Select 8 Group to display GROUP UNGROUP menu 90 Memory and Variable Management pee UMGROUP reate Hew 3 Press to display the GROUP menu GROUP Hame 0 4 Enter a name for the new group and press ENTER Note A group name can be one to eight characters long The first character must be a letter from A to Z or 6 The second through eighth characters can be letters numbers or 9 GROUP Hame GROUPA 5 Select the type of data you want to group You can select 1 All which shows all variables of all types available and selected You can also select 1 All which shows all variables of all types available but not selected A screen is displayed listing each variable of the type you selected For example suppose some variables have been created in RAM and selecting 1 All displays the following screen 6 Press 4 and to move the selection cursor gt next to the first item you want to copy into a group and then press ENTER A small square will remain to the left of all variables selected for grouping Memory and Variable Management 91 Repeat the selection process until all variables for the new group are selected and then press gt to display the DONE menu SELECT aimgla iB0one 7 Press ENTER
87. ear regression STAT Ylistname freqlist model to X istname and CALC regequ Ylistname with frequency 4 LinReg ax b freqlist and stores the regression equation to regequ 126 Appendix A Tables and Reference Information Function or Instruction Arguments LinRegTTest X istname Yiistname freqlist alternative regequ Result Performs a linear regression and a t test alternative 1 is lt alternative 0 is alternative 1 is gt Key or Keys Menu or Screen item t TESTS E LinRegTTest AList ist Returns a list containing the differences between consecutive elements in list List OPS 7 AList List gt matr listname listname n matrixname Fills matrixname column by column with the elements from each specified List OPS 0 List gt matr listname In value Returns the natural logarithm of a real or complex number expression or list LnReg X istname Fits a logarithmic STAT Ylistname freqlist regression model to CALC regequ Xlistname and Ylistname 9 LnReg with frequency freqlist and stores the regression equation to regequ log value Returns logarithm of a LOG real or complex number expression or list Logistic X istname Fits a logistic regression STAT Ylistname freqlist model to Xlistname and CALC regequ Ylistname with frequency B Logistic freqlist and stores the regression equation to regequ Matr gt list matrix Fills each distname
88. ecognized and used on the TI 83 Plus or TI 83 Plus Silver Edition you can send these variables to the TI 83 Plus or TI 83 Plus Silver Edition They will be automatically sent to the RAM of the TI 83 Plus or TI 83 Plus Silver Edition during the transfer process It will send to archive if the item is from archive To send data to a TI 83 Plus or TI 83 Plus Silver Edition 1 Use an I O unit to unit cable to link the two units together 2 Set the TI 83 Plus or TI 83 Plus Silver Edition to receive 3 Press LINK on the sending TI 84 Plus to display the LINK SEND menu Communication Link 105 4 Select the menu of the items you want to transmit Press gt on the sending TI 84 Plus to display the LINK TRANSMIT menu 6 Confirm that the receiving unit is set to receive 7 Press on the sending TI 84 Plus to select 1 Transmit and begin transmitting Receiving Items LINK RECEIVE Menu To display the LINK RECEIVE menu press LINK gt SEND RECEIVE 1 Receive Sets unit to receive data transmission Receiving Unit When you select 1 Receive from the LINK RECEIVE menu on the receiving unit the message Waiting and the busy indicator are displayed The receiving unit is ready to receive transmitted items To exit the receive mode without receiving items press ON and then select 1 Quit from the Error in Xmit menu When transmission is complete the unit exits the receive mode You can select 1
89. ector 3 Each variable that you archive is stored in the first empty block large enough to hold it This process continues to the end of the last sector Depending on the size of individual variables the empty blocks may account for a significant amount of space Garbage collection occurs when the variable you are archiving is larger than any empty block How Unarchiving a Variable Affects the Process When you unarchive a variable it is copied to RAM but it is not actually deleted from user data archive memory Unarchived variables are marked for deletion meaning they will be deleted during the next garbage collection CE BLE o Sector 1 variable A After you unarchive variables B and C they continue to take up space Sector 2 variable D Sector 3 If the MEMORY Screen Shows Enough Free Space Even if the MEMORY screen shows enough free space to archive a variable or store an application you may still get a Garbage Collect message or an ERR ARCHIVE FULL message Memory and Variable Management 95 When you unarchive a variable the Archive free amount increases immediately but the space is not actually available until after the next garbage collection If the Archive free amount shows enough available space for your variable there probably will be enough space to archive it after garbage collection depending on the usability of any empty blocks The Garbage Collection Process The garbage collection proc
90. eginning of each F Pmt_Bgn payment period Pmt_End Specifies an ordinary 1 Finance annuity where payments CALC occur at the end of each E Pmt_End payment period poissoncdf u x Computes a cumulative DISTR probability at x for the DISTR discrete Poisson C poissoncdf distribution with specified mean u poissonpdf x Computes a probability at DISTR x for the discrete Poisson DISTR distribution with the B poissonpdf specified mean u Polar Sets polar graphing t mode Pol complex value Polar Displays complex value in polar format CPX 7 gt Polar PolarGC Sets polar graphing t FORMAT coordinates format PolarGC prgmname Executes the program t name CTRL D prgm EPrn pmtl pmt2 Computes the sum 1 Finance Lroundvalue rounded to roundvalue of CALC the principal amount 0 gt Prn between pmtl and pmt2 for an amortization schedule 132 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item prod is7 start end Returns product of list LIST elements between start MATH and end 6 prod Prompt variableA Prompts for value for t PRGM variableB variablen _ variableA then variableB 1 0 and so on 2 Prompt 1 PropZint x n Computes a one t STAT confidence level proportion z confidence TESTS interval A 1 PropZint 2 PropZint x 11 x2 n2 Computes a two t STAT confidence level proportion
91. ent 118 e exponential 118 editing expressions 11 End 118 Eng engineering notation mode 118 Index 185 entering alphabetic characters 4 data into lists 30 expressions 4 lists to plot 33 EqubString equation to string conversion 118 equal to relational test 150 equation solver 28 error messages 42 errors messages 169 examples applications area between curves 67 areas of regular n sided polygons 73 box plots 57 box with lid 50 defining a 50 defining a table of values 51 setting the viewing window 53 tracing the graph 54 zooming in on the graph 55 zooming in on the table 52 cobweb attractors 64 fundamental theorem of calculus 71 guess the coefficients 65 inequalities 60 mortgage payments 75 parametric equations ferris wheel problem 68 piecewise functions 59 quadratic formula converting to a fraction 48 displaying complex results 49 entering a calculation 47 Sierpinski triangle 63 solving a system of nonlinear equations 62 unit circle and trig curves 66 examples Getting Started adding complex numbers 28 building tables 24 calculating linear regressions 35 calculating statistical variables 36 changing FORMAT menu 9 changing mode settings 19 decimals to fractions 26 editing and deleting 11 12 entering data into lists 30 equation solving 29 error messages 43 finding factorials 27 finding square roots 27 graphing functions 18 grouping lists 40 least common multiples 27 matrix equati
92. ents electronic product warranty extends only to the original purchaser and user of the product Warranty Duration This Texas Instruments electronic product is warranted to the original purchaser for a period of one 1 year from the original purchase date Warranty Coverage This Texas Instruments electronic product is warranted against defective materials and construction This war ranty is void if the product has been damaged by accident or unrea sonable use neglect improper service or other causes not arising out of defects in materials or construction Warranty Disclaimers Any implied warranties arising out of this sale including but not limited to the implied warranties of merchantability and fitness for a particular purpose are limited in duration to the above one year period Texas Instruments shall not be liable for loss of use of the product or other inci dental or consequential costs expenses or damages incurred by the consumer or any other user Except as expressly provided in the One Year Limited Warranty for this product Texas Instruments does not promise that facil ities for the repair of this product or parts for the repair of this product will be available Some jurisdictions do not allow the exclusion or limitation of implied warranties or consequential damages so the above limitations or exclusions may not apply to you Legal Remedies This warranty gives you specific legal rights and you may also have other
93. ere RND round the display to the number of decimal places selected RND12 round to 12 decimal places Balance principal and interest are dependent on the values of PMT PV 1 and pmtl and pmt2 Cash Flow y SiC npv Crot CF 1 i SL Jai J f i gt l where S 2 7 0 j 0 Net present value is dependent on the values of the initial cash flow CF subsequent cash flows CFj frequency of each cash flow nj and the specified interest rate i irr 100 x i where i satisfies npv 0 Internal rate of return is dependent on the values of the initial cash flow CF and subsequent cash flows CF i I 100 Interest Rate Conversions Ef CP x In x 1 100 x e 1 where x 01 x Nom CP yNom 100 x CP Se ee Ly where x 01 xEff Appendix A Tables and Reference Information 161 Eff effective rate CP Nom compounding periods nominal rate Days between Dates With the dbd function you can enter or compute a date within the range Jan 1 1950 through Dec 31 2049 Actual actual day count method assumes actual number of days per month and actual number of days per year dbd days between dates Number of Days II Number of Days Number of Days YI YB x 365 number of days MB to M1 DTI Y1 YB 4 Number of Days II Y2 YB x 365 number of days MB to M2 DT2 Y2 YB 4 where M1 month of first date DT1 day of first date Y1 yea
94. ers shown above each key Displays a menu that lists Applications installed on the TI 84 Plus Turns on the TI 84 Plus TI 84 Plus Silver Edition i Texas INSTRUMENTS STAT PLOT F1 TBLSET F2 FORMAT F3 CALC F4 TABLE FS OS ops AUA Let you move the cursor in four directions Clears erases the entry line or deletes an entry and answer on the home screen ENTER Evaluates an expression executes an instruction or selects a menu item Getting Started Turning the T1 84 Plus on and off To turn on the TI 84 Plus press ON The key is located at the lower left corner of the TI 84 Plus To turn off the TI 84 Plus press the key followed by the key OFF is the second function of ON When you turn off the TI 84 Plus all settings and memory contents are retained The next time you turn on the TI 84 Plus the home screen displays as it was when you last used it Automatic Power Down To prolong the life of the batteries Automatic Power Down APD turns off the TI 84 Plus automatically after about five minutes without any activity The next time you turn o n the TI 84 Plus it is exactly as you left it Home screen When you turn on your TI 84 Plus the first time you should see this screen TI B4Flus Silver Edition 2 20 RAM cleared To clear this text from your screen press CLEAR twice You should now see the home sc
95. eset A message indicating the type of archive memory cleared will be displayed on the home screen Resetting All Memory When resetting all memory on the TI 84 Plus RAM and user data archive memory is restored to factory settings All nonsystem variables applications and programs are deleted All system variables are reset to default settings Memory and Variable Management 89 Before you reset all memory consider restoring sufficient available memory by deleting only selected data To reset all memory on the TI 84 Plus follow these steps 1 From the RAM ARCHIVE ALL menu press gt gt to display the ALL menu fa ARCHIVE ime WAAL Memory 2 Select 1 All Memory to display the RESET MEMORY menu Programs amp APPS from RAM amp Archive 3 Read the message below the RESET MEMORY menu e To cancel the reset and return to the home screen press ENTER e To continue with the reset select 2 Reset The message MEM cleared is displayed on the home screen When you clear memory the contrast sometimes changes If the screen is faded or blank adjust the contrast by pressing 4 or Grouping and Ungrouping Variables Grouping Variables Grouping allows you to make a copy of two or more variables residing in RAM and then store them as a group in user data archive The variables in RAM are not erased The variables must exist in RAM before they can be grouped In other words archived data cannot b
96. ess e Deletes unarchived variables i LLL LL Sector 1 from the user data archive variable A e Rearranges the remaining variables into consecutive blocks Sector 2 Note Power loss during garbage collection may cause all memory RAM and Archive to be deleted Using the GarbageCollect Command You can reduce the number of automatic garbage collections by periodically optimizing memory This is done by using the GarbageCollect command To use the GarbageCollect command follow these steps 1 Press CATALOG to display the CATALOG 2 Press or 4 to scroll the CATALOG until the selection cursor points to the GarbageCollect command Press ENTER to paste the command to the current screen 4 Press ENTER to display the Garbage Collect message Select 2 Yes to begin garbage collection 96 Memory and Variable Management ERR ARCHIVE FULL Message Even if the MEMORY screen shows enough free ERR ARCHIVE FULL space to archive a variable or store an HBGuit application you may still get an ERR ARCHIVE FULL message Lardest single Wariable 3662 AFF z An ERR ARCHIVE FULL message may be displayed e When there is insufficient space to archive a variable within a continuous block and within a single sector e When there is insufficient space to store an application within a continuous block of memory When the message is displayed it will indicate the largest single space of memory available for
97. essions ANOVA 2 SampF Test and 2 SampTTest Logistic The logistic regression algorithm applies nonlinear recursive least squares techniques to optimize the following cost function N y 5 v ee i 1 L ae which is the sum of the squares of the residual errors where x the independent variable list y the dependent variable list N the dimension of the lists This technique attempts to estimate the constants a b and c recursively to make J as small as possible SinReg The sine regression algorithm applies nonlinear recursive least squares techniques to optimize the following cost function N J asin bx c d i l which is the sum of the squares of the residual errors where x the independent variable list y the dependent variable list N the dimension of the lists This technique attempts to recursively estimate the constants a b c and d to make J as small as possible Appendix A Tables and Reference Information 155 ANOVA The ANOVA F statistic is _ FactorMS ErrorMS The mean squares MS that make up F are FactorMS FactorSs Factordf ErrorMS ErrorSs Errordf The sum of squares SS that make up the mean squares are I FactorSS Ena i l I ErrorSS X n 1 Sx 2 i l The degrees of freedom df that make up the mean squares are Factordf I 1 numeratordf for F I Errordf gt n 1 denominatordf for F i l where 7 number of populations x the me
98. f all functions and stat plots Enter the expressions to define the unit circle centered on 0 0 Floti PIokz Flot sait EcosiT YirBsintT saet GT YzrBsintT Enter the expressions to define the sine curve Floti Plok Plok3 sait EcosiT YirBsintT saet GT YzrBsintT Press TRACE As the graph is plotting you may press ENTER to pause and ENTER again to resume graphing as you watch the sine function unwrap from the unit circle niracosiT Yir siniT Note You can generalize the unwrapping Replace sin T in Y2T with any other trig function to unwrap that function Finding the Area between Curves Problem Find the area of the region bounded by f x 300x x 625 g x 3cos 1x xX 75 Activities 67 Procedure 1 2 Press MODE Select the default mode settings Press WINDOW Set the viewing window Xmin 0 Ymin 5 Xres 1 Xmax 100 Ymax 10 Xscl 10 Yscl 1 Press y Turn off all functions and stat plots Enter the upper and lower functions Y1 300X X2 625 Y2 3cos 1X Press CALC 5 to select 5 Intersect The graph is displayed Select a first curve second curve and guess for the intersection toward the left side of the display The solution is displayed and the value of X at the intersection which is the lower limit of the integral is stored in Ans and X Press ouit to go to the home screen Press DRAW 7 and use Shade to see the area graphically
99. fine a graph s appearance 2nd MATRIX MATRIX menu to define view and edit matrices 2nd DRAW DRAW menu to select tools for drawing on graphs 2nd DISTR DISTRIBUTIONS menu to select distribution functions to paste to the home screen or editor screens 2nd TEST TEST menu to select relational operators lt gt etc and Boolean operators and or xor not to paste to the home screen Editing and deleting You can change any expression or entry using the backspace 4 key the delete key or the insert INS key You can make a change before or after you press ENTER Example Enter the expression 5 1 and then change the expression to 5245 Press Result 5 2 4 1 Se ill 5 5 45 Getting Started 11 Example Enter the expression 52 1 and then change the expression to 52 5 Press Result a o LJ 5 5 5 ENTER 24 Example Change the example above to 5 2 5 using 2nd ENTRY to recall the expression and INS to insert 2 into the expression Press Result CI 4 End Ins 5ete 5 2 22 ENTER 12 Getting Started Using and Many graphing handhelds including the TI 84 Plus make a distinction between the symbols for subtraction and negation Use to enter subtraction operations Use to enter a ne
100. for undefined values on a graph OVERFLOW You attempted to enter or you have calculated a number that is beyond the range of the graphing handheld This error is not returned during graphing The TI 84 Plus allows for undefined values on a graph RESERVED You attempted to use a system variable inappropriately See Appendix A SINGULAR MAT e Asingular matrix determinant 0 is not valid as the argument for 1 e The SinReg instruction or a polynomial regression generated a singular matrix determinant 0 because it could not find a solution or a solution does not exist This error is not returned during graphing The TI 84 Plus allows for undefined values on a graph SINGULARITY expression in the solve function or the equation solver contains a singularity a point at which the function is not defined Examine a graph of the function If the equation has a solution change the bounds or the initial guess or both 174 Appendix B General Information Error Type STAT Possible Causes and Suggested Remedies You attempted a stat calculation with lists that are not appropriate e Statistical analyses must have at least two data points e Med Med must have at least three points in each partition e When you use a frequency list its elements must be 0 e Xmax Xmin Xscl must be lt 47 for a histogram STAT PLOT You attempted to display a graph when a stat plot that uses
101. gative number in an operation in an expression or on a setup screen Example Subtract 10 from 25 Press Result 25 10 25 18 ENTER 15 Example Add 10 to 25 Press Result 2510 2725 16 ENTER 15 Example Subtract 10 from 25 Press Result 256010 25 18 ENTER 35 Note Notice that the TI 84 Plus displays a slightly different symbol for negation and subtraction to make it easier for you to distinguish between the two The negative symbol is raised and slightly shorter Getting Started 13 Using parentheses Since all calculations inside parentheses are completed first it is sometimes important to place a portion of an expression inside parentheses Example Multiply 4 1 2 then multiply 4 1 2 Press Result 4 1 2 441 2 ENTER 6 4 0 14 20 ENTER Note The closing parenthesis DJ is optional The operation will be completed if you omit it The exception to this rule occurs when there is another operation following the parenthetical operation In this case you must include the closing parenthesis Example Divide 1 2 by 2 3 Press Result O14 208 C1 e e Cera 2 30 ENTER 14 Getting Started Example Calculate 16 Press Result 16001620 MEERE ENTER Example Calculate 3 Press Result 3 p752 ENTER 7 Note Try each of these examples without the parentheses and see what h
102. gement 1 Press 2nd MEM to display the MEMORY menu Note The 1 and J in the top or bottom of the left column indicate that you can scroll up or down to view more variable lrAllLists types Archive UnArchive 7lReset out hen Mamt Del relearn Entries 2 Select 2 Mem Mgmt Del to display the MEMORY MANAGEMENT DELETE menu The TI 84 Plus expresses memory quantities in bytes FAM FREE 24317 FC FREE 1546F A11 Feal Come lex List tMabrix Vars 3 Select variable types from the list to display memory usage Notes Real List Y Vars and Prgm variable types never reset to zero even after memory is cleared Apps are independent applications which are stored in Flash ROM AppVars is a variable holder used to store variables created by independent applications You cannot edit or change variables in AppVars unless you do so through the application which created them To leave the MEMORY MANAGEMENTI DELETE menu press either QUIT or CLEAR Both options display the home screen Deleting Items from Memory Deleting an Item To increase available memory by deleting the contents of any variable real or complex number list matrix Y variable program Apps AppVars picture graph database or string follow these steps 1 Press nd MEM to display the MEMORY menu Memory and Variable Management 81 2 Select 2 Mem Mgmt Del to display the MEMORY MANAGEMENT DELETE menu
103. gin typing e Press CLEAR to clear the old value then type the new one 3 Press ENTER or 4 Note Values are stored as you type them you do not need to press ENTER Pressing ENTER simply moves the cursor to the next window variable 4 After you have made all changes press ouit to close the WINDOW Editor or to display the graph Example Change the window settings to display a maximum X value of 25 a minimum X value of 25 a maximum Y value of 50 and a minimum Y value of 50 Press Result Ymin 16 Ymax 16 Yecl 1 M252 2505 050050 22 Getting Started Press Result ouir Using The TI 84 Plus has ten predefined window settings that let you quickly adjust the graph window to a predetermined level of magnification To display this menu press ZOOM Selection Result 1 ZBox Lets you draw a box using the cursor pad to define the viewing window 2 Zoom In After you position the cursor and press ENTER magnifies the graph around the cursor 3 Zoom Out After you position the cursor and press ENTER displays more of the graph 4 ZDecimal Sets the change in X and Y to increments of 1 when you use TRACE 5 ZSquare Adjusts the viewing window so that X and Y dimensions are equal 6 ZStandard Sets the standard default window variables 7 ZTrig Sets the built in trigonometry window variables 8 ZI
104. gt Frac is displayed on Ans Fracll the home screen Ans is a variable that contains the last calculated answer Press ENTER to convert the result to a fraction To save keystrokes you can recall the last expression you entered and then edit it for a new calculation 4 48 Press 2nd ENTRY above ENTER to recall the e B4 gt eEe dAacia c fraction conversion entry and then press _ ENTRY again to recall the quadratic ONE iat formula expression b Nb 4ac 2a 243 E BH CB 4dAC aoe ZAJE Activities 5 Press 4 to move the cursor onto the sign in the formula Press to edit the quadratic formula expression to become 273 B ICBt 4AC IA b b 4ac zA 1 2a L 6 Press to find the other solution for the quadratic equation 3x 5x 2 0 Displaying Complex Results Now solve the equation 2x x 3 0 When you set a bi complex number mode the TI 84 Plus displays complex results 1 Press MODE 6 times and then press gt to position the cursor over a bi Press ENTER to select a bi complex number mode 2 Press 2nd QUIT above MODE to return to the F3A 4B 3C home screen and then press CLEAR to clear it 3 Press 2 S09 ALPHA A ALPHA 1 STO ALPHA B ALPHA 3 STO ALPHA C ENTER The coefficient of the x2 term the coefficient of the X term and the constant for the new equation
105. he steps for replacing batteries you can replace either type of battery without losing any information in memory Appendix B General Information 163 Battery Precautions Take these precautions when replacing batteries Do not leave batteries within reach of children Do not mix new and used batteries Do not mix brands or types within brands of batteries Do not mix rechargeable and nonrechargeable batteries Install batteries according to polarity and diagrams Do not place nonrechargeable batteries in a battery recharger Properly dispose of used batteries immediately Do not leave them within the reach of children Do not incinerate or dismantle batteries Replacing the Batteries To replace the batteries follow these steps 1 164 Turn off the graphing handheld Replace the slide cover over the keyboard to avoid inadvertently turning on the graphing handheld Turn the back of the unit toward you Hold the graphing handheld upright push downward on the latch on the top of the battery cover and then pull the cover toward you Note To avoid loss of information stored in memory you must turn off the graphing handheld Do not remove the AAA batteries and the silver oxide battery simultaneously Replace all four AAA alkaline batteries simultaneously Or replace the silver oxide battery e To replace the AAA alkaline batteries remove all four discharged AAA batteries and install new ones according to the
106. hour format getTmFmt Returns an integer CATALOG representing the clock getTmFmt time format that is currently set on the device 12 12 hour format 24 24 hour format getTmStr integer Returns a string of the CATALOG current clock time inthe getTmStr format specified by integer where 12 12 hour format 24 24 hour format Goto abel Transfers control to Jabel t PRGM CTL 0 Goto GraphStyle function Sets a graphstyle for t PRGM graphstyle function CTL H GraphStyle GridOff Turns off grid format 2nd FORMAT GridOff GridOn Turns on grid format 2nd FORMAT GridOn G T Sets graph table vertical t MODE split screen mode G T Horiz Sets horizontal split t MODE screen mode Horiz Appendix A Tables and Reference Information 123 Function or Instruction Key or Keys Menu Arguments Result or Screen Item Horizontal y Draws a horizontal line at DRAW y DRAW 3 Horizontal Returns the identity MATRIX matrix of dimension rowsx MATH identity dimension dimension columns 5 identity If condition If condition 0 false t commandA skips commandA CTL tcommands 1 If If condition Executes commands from t Then Then to End if CTL commands condition 1 true 2 Then End commands If condition Executes commands from t Then Then to Else if CTL commands condition 1 true from 3 Else Else Else to End if condition 0 commands false End co
107. in by increment zcommands until variable gt end fPart value Returns the fractional part or parts of arealor NUM complex number 4 fPart expression list or matrix F pdf x numerator df Computes the F DISTR denominator df distribution probability DISTR between lowerboundand 8 Fpdf upperbound for the specified numerator df degrees of freedom and denominator df 120 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item valuebFrac Displays a real or complex number expression list MATH or matrix as a fraction 1 Frac simplified to its simplest terms Full Sets full screen mode t Full Func Sets function graphing t mode Func GarbageCollect Displays the garbage CATALOG collection menu to allow GarbageCollect cleanup of unused archive memory gcd valueA valueB Returns the greatest common divisor of valued NUM and valueB which canbe 9 gcd real numbers or lists geometcdf p x Computes a cumulative DISTR probability at x the DISTR number of the trial on E geometcdf which the first success occurs for the discrete geometric distribution with the specified probability of success p geometpdf p x Computes a probability at DISTR x the number of the trial DISTR on which the first success D geometpdf occurs for the discrete geometric distribution with the specified probability of success p Get variable Gets data fro
108. ist or matrix NUM rounded to decimals lt 9 2 round row value matrix row Returns a matrix with row 2nd MATRIX of matrix multiplied by MATH value and stored in row E row row matrix rowA rowB Returns a matrix with rowA 2nd MATRIX of matrix added to rowB MATH and stored in rowB D row row value matrix Returns a matrix with 2nd MATRIX rowA rowB rowA of matrix multiplied MATH by value added to rowB F row and stored in rowB 136 Appendix A Tables and Reference Information Function or Instruction Arguments rowSwap matrix rowA Result Returns a matrix with Key or Keys Menu or Screen item 2nd MATRIX rowB rowA of matrix swapped MATH with rowB C rowSwap rref matrix Returns the reduced row 2nd MATRIX echelon form of a matrix MATH B rref R gt Pr x y Returns R given 2nd ANGLE rectangular coordinates x ANGLE and y or a list of 5 R gt Pr rectangular coordinates R gt PO x y Returns 6 given ANGLE rectangular coordinates x ANGLE and y or a list of 6 R gt PO rectangular coordinates 2 SampF Test istnamel Performs a two sample t listname 2 freqlist1 F test alternative 1 is lt TESTS freqlist2 alternative drawflag Data list input alternative 0 is alternative 1 Is gt drawflag 1 draws results drawflag 0 calculates results D 2 SampF Test 2 SampF Test Sx n Sx2 n2 alternative
109. ist input 7 Zinterval Zinterval 0 X 1 Computes az confidence t STAT confidence level interval TESTS Summary stats input 7 Zinterval Zoom In Magnifies the part of the t ZOOM graph that surrounds the ZOOM cursor location 2 Zoom In Zoom Out Displays a greater portion t ZOOM of the graph centeredon ZOOM the cursor location 3 Zoom Out ZoomFit Recalculates Ymin and t ZOOM Ymax to include the ZOOM minimum and maximum 0 ZoomFit Y values between Xmin and Xmax of the selected functions and replots the functions ZoomRcl Graphs the selected t functions in a user MEMORY defined viewing window 3 ZoomRcl Appendix A Tables and Reference Information 147 Function or Instruction Key or Keys Menu Arguments Result or Screen Item ZoomStat Redefines the viewing t window so that all ZOOM statistical data points are 9 ZoomStat displayed ZoomSto Immediately stores the t current viewing window MEMORY 2 ZoomSto ZPrevious Replots the graph using t the window variables of MEMORY the graph that was 1 ZPrevious displayed before you executed the last ZOOM instruction ZSquare Adjusts the X or Y t window settings so that ZOOM each pixel represents an 5 ZSquare equal width and height in the coordinate system and updates the viewing window ZStandard Replots the functions t immediately updating ZOOM the window variables to the default values 6 ZStandard Z Test 0 o istname Performs a z test with t
110. items from 81 error 95 insufficient during transmission 109 resetting defaults 88 resetting memory 88 MEMORY menu 79 Menu define menu 128 menus defining Menu 128 TI 84 Plus 10 min minimum 128 minimum of a function fMin 120 minutes notation 153 mode menu 19 changing settings 18 mode settings a bi complex rectangular 112 Connected plotting 115 Degree angle 116 Dot plotting 117 188 Index Eng notation 118 Fix decimal 119 Float decimal 119 Full screen 121 Func graphing 121 G T screen 123 Horiz screen 123 importance 20 Normal notation 129 Par Param graphing 131 Pol Polar graphing 132 Radian angle 135 re40i complex polar 135 Real 135 Sci notation 139 Seq graphing 139 Sequential graphing order 139 Simul graphing order 141 multiplication 152 multiplication example 14 nCr number of combinations 129 nDeriv numerical derivative 129 negation 151 negation key 13 normal distribution probability normalcdf 130 Normal notation mode 129 normalpdf probability density function 130 not equal to 150 not Boolean operator 130 nPr permutations 130 npv net present value 130 numeric notation modes 19 0 Omit 92 107 one proportion z confidence interval 1 PropZint 133 one proportion z test 1 PropZTest 133 one sample confidence interval TInterval 144 one variable statistics 1 Var Stats
111. ive commands from the MEMORY menu or CATALOG e Use a Memory Management editor screen Before archiving or unarchiving variables particularly those with a large byte size such as large programs use the MEMORY menu to e Find the size of the variable e See if there is enough free space For Sizes must be such that Archive Archive free size gt variable size UnArchive RAM free size gt variable size Note If there is not enough space unarchive or delete variables as necessary Be aware that when you unarchive a variable not all the memory associated with that variable in user data archive will be released since the system keeps track of where the variable has been and where it is now in RAM Even if there appears to be enough free space you may see a Garbage Collection message when you attempt to archive a variable Depending on the usability of empty blocks in the user data archive you may need to unarchive existing variables to create more free space To archive or unarchive a list variable L1 using the Archive UnArchive options from the MEMORY menu 1 Press nd MEM to display the MEMORY menu Peet them Momt Del Clear Entries ClrAllLists Archive PUA CA T Feset 2 Select 5 Archive or 6 UnArchive to place the command in the edit screen 3 Press 2nd L1 to place the L1 variable in the edit screen aes Lill 4 Press ENTER to complete the archive process
112. lists ClrAllLists 79 114 drawing ClrDraw 114 entries Clear Entries 79 114 Home screen 4 home screen ClrHome 114 list ClrList 114 table ClrTable 114 Y Editor 25 Clock 6 Clock Off 8 Clock On 8 ClockOff turn clock off 114 ClockOn turn clock on 114 ClrAllLists clear all lists 79 114 ClrDraw clear drawing 114 ClrHome clear home screen 114 ClrList clear list 114 ClrTable clear table 114 combinations nCr 129 compiling an assembly program 112 complex modes a bi re 6i 20 112 135 numbers 135 numbers adding 28 concatenation 153 conj conjugate 114 Connected plotting mode 115 connecting two calculators 101 105 contact information 179 conversions gt Dec to decimal 116 DMS to degrees minutes seconds 117 gt Frac to fraction conversion 121 gt Nom to nominal interest rate conversion 129 Polar to polar conversion 132 Rect to rectangular conversion 136 decimals to fractions 26 184 Index EqubString equation to string conversion 118 List matr list to matrix conversion 127 Matrdlist matrix to list conversion 127 P gt Rx P gt Ry polar to rectangular conversion 134 RpPr RYPO rectangular to polar conversion 137 String gt Equ string to equation conversion 143 convert time timeCnv 144 CoordOff 115 CoordOn 115 cos cosine 115 cos arccosine 115 cosh hyperbolic cosine 115 cosh hyperbolic arccosine 115 cosine cos 115 creating new
113. m B Send seq expression variable Returns list created by LIST begin end increment evaluating expression with OPS regard to variable from 5 seq begin to end by increment Seq Sets sequence graphing t mode Seq Sequential Sets mode to graph t functions sequentially Sequential setDate year month day Sets the date using a year CATALOG month day format The setDate year must be 4 digits month and day can be 1 or 2 digit setDtFmt integer Sets the date format CATALOG 1 M D Y setDtFmt 2 D M Y 3 Y M D Appendix A Tables and Reference Information 139 Function or Instruction Key or Keys Menu Arguments Result or Screen Item setTime hour minute Sets the time using an CATALOG second hour minute second setTime format The hour must be in 24 hour format in which 13 1 p m setTmFmt integer Sets the time format CATALOG 12 12 hour format setTmFmt 24 24 hour format SetUpEditor Removes all list names STAT from the stat list editor EDIT and then restores list names L1 through L6 to columns 1 through 6 5 SetUpEditor SetUpEditor Jistname distname2 1 listname20 Removes all list names from the stat list editor then sets it up to display one or more listnames in the specified order starting with column 1 STAT EDIT 5 SetUpEditor Shade owerfunc Draws lowerfunc and DRAW upperfunc Xleft Xright upperfunc in terms of Xon DRAW pattern patres
114. m the t CBL 2 or CBR System IO and stores it in variable A Get Appendix A Tables and Reference Information 121 Function or Instruction Key or Keys Menu Arguments Result or Screen Item GetCale variable Gets contents of variable t L portflag on another TI 84 Plus and W O stores it to variable onthe 0 GetCalc receiving TI 84 Plus By default the TI 84 Plus uses the USB port if it is connected If the USB cable is not connected it uses the I O port portflag 0 use USB port if connected portflag 1 use USB port portflag 2 use I O port getDate Returns a list giving the CATALOG date according to the getDate current value of the clock The list is in year month day format getDtFmt Returns an integer CATALOG representing the date getDtFmt format that is currently set on the device 1 M DIY 2 D M Y 3 Y M D getDtStr integer Returns a string of the CATALOG current date in the getDtStr format specified by integer where 1 M D Y 2 D M Y 3 Y M D getKey Returns the key code for t the current keystroke or WO 0 if no key is pressed 7 getKey 122 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item getTime Returns a list giving the CATALOG time according to the getTime current value of the clock The list is in fhour minute second format The time is returned in the 24
115. mber key in TRACE the X prompt is displayed in the bottom i ae left corner Guesst Notice how the values for the calculated maximum compare with the maximums found with the free moving cursor the trace cursor and the table Note In steps 2 and 3 above you can enter values directly for Left Bound and Haxiraura T Right Bound in the same way as described iste ELL YEN eani in step 4 Comparing Test Results Using Box Plots Problem An experiment found a significant difference between boys and girls pertaining to their ability to identify objects held in their left hands which are controlled by the right side of their brains versus their right hands which are controlled by the left side of their brains The TI Graphics team conducted a similar test for adult men and women The test involved 30 small objects which participants were not allowed to see First they held 15 of the objects one by one in their left hands and guessed what they were Then they held the other 15 objects one by one in their right hands and guessed what they were Use box plots to compare visually the correct guess data from this table Correct Guesses Women Women Men Men Left Right Left Right 8 4 7 12 9 1 8 6 12 8 7 12 11 12 5 12 10 11 7 7 8 11 8 11 12 13 11 12 Activities 57 Correct Guesses Women Women Men Men Left Right Left Right 7 12 4 8
116. mmands imag value Returns the imaginary nonreal part of a CPX complex number or list of 3 imag complex numbers IndpntAsk Sets table to ask for 2nd TBLSET independent variable Indpnt Ask values IndpntAuto Sets table to generate t 2nd TBLSET independent variable Indpnt Auto values automatically Input Displays graph t PRGM 1 0 1 Input Input variable Prompts for value to store t PRGM Input ext variable to variable 1 0 1 Input 124 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item Input Strz variable Displays Strn and stores t entered value to variable WO 1 Input inString string substring Returns the character CATALOG start position in string of the inString first character of substring beginning at start int value Returns the largest integer lt a real or NUM complex number 5 int expression list or matrix UUnt pmt1 pmt2 Computes the sum APPS 1 Finance roundvalue rounded to roundvalue of CALC the interest amount A rInt between pmtl and pmt2 for an amortization schedule invNorm area u 6 Computes the inverse DISTR cumulative normal DISTR distribution function fora 3 invNorm given area under the normal distribution curve specified by u and o iPart value Returns the integer part of a real or complex NUM number expression list 3 iPart or matrix
117. nd denominator df Fill value matrixname Stores value to each MATRIX element in matrixname MATH 4 Fill Fill value listname Stores value to each LIST element in istname OPS 4 Fill Fix Sets fixed decimal mode t for of decimal places 0123456789 select one Float Sets floating decimal MODE mode Float fMax expression variable Returns the value of lower upper tolerance variable where the local MATH maximum of expression 7 fMax occurs between ower and upper With specified tolerance Appendix A Tables and Reference Information 119 Function or Instruction Key or Keys Menu Arguments Result or Screen Item fMin expression variable Returns the value of lower upper tolerance variable where the local MATH minimum of expression 6 fMin occurs between ower and upper With specified tolerance fnint expression variable Returns the function lower upper tolerance integral of expression with MATH respect to variable 9 fnint between lower and upper with specified tolerance FnOff function Deselects all Y functions VARS function function n or specified Y functions Y VARS 4 0n Off 2 FnOff FnOn function t Selects all Y functions or VARS function function n specified Y functions Y VARS 4 0On Off 1 FnOn For variable begin end Executes commands t increment through End CTL tcommands incrementing variable 4 For End from beg
118. nditions In Seq mode you attempted to reference terms other than 7 1 or n 2 You attempted to designate a graph style that is invalid within the current graph mode You attempted to use Select without having selected turned on at least one xyLine or scatter plot INVALID DIM The ERR INVALID DIM error message may occur if you are trying to graph a function that does not involve the stat plot features The error can be corrected by turning off the stat plots To turn the stat plots off press STAT PLOT and then select 4 PlotsOff You specified a list dimension as something other than an integer between 1 and 999 You specified a matrix dimension as something other than an integer between 1 and 99 You attempted to invert a matrix that is not square 172 Appendix B General Information Error Type Possible Causes and Suggested Remedies ITERATIONS e The solve function or the equation solver has exceeded the maximum number of permitted iterations Examine a graph of the function If the equation has a solution change the bounds or the initial guess or both e irr has exceeded the maximum number of permitted iterations e When computing 1 the maximum number of iterations was exceeded LABEL The label in the Goto instruction is not defined with a Lbl instruction in the program MEMORY Memory is insufficient to perform the instruction or function You must delete items from memory before
119. ned by y f Pa f Pa and eat Procedure 2 1 72 Press y Turn off all functions and stat plots Use a list to define these three functions simultaneously Store the function in Y5 Floki Flake Flats 1 43 wYe lTntKo oye Ren Nien Ed Ed 7 Press ZOOM 6 to select 6 ZStandard Press TRACE Notice that the functions appear identical only shifted vertically by a constant Press Y Enter the numerical derivative of Y5 in Y6 Ploti Plot Plot3 aye en PUENTA My wWEERDerivcves H 3 Press TRACE Notice that although the three graphs defined by Y5 are different they share the same derivative Activities Ve nDeriveyS saan 1 924894 2 6668179 Computing Areas of Regular N Sided Polygons Problem Use the equation solver to store a formula for the area of a regular N sided polygon and then solve for each variable given the other variables Explore the fact that the limiting case is the area of a circle mr 2 Consider the formula A NB sin z N cos z N for the area of a regular polygon with N sides of equal length and B distance from the center to a vertex N 4 sides N 8 sides 12 sides Procedure 1 Press 0 to select 0 Solver from the MATH menu Either the equation editor or the interactive solver editor is displayed If the interactive solver editor is displayed press 4 to display the equation editor Enter the formula as O0 A NB2sin zx N cos z N
120. ng 36 stdDev standard deviation 142 Stop 143 Store gt 143 Store key ST0 30 StoreGDB 143 StorePic 143 storing values 15 16 17 String gt Equ string to equation conversions 143 strings concatenation 153 length length 126 student z distribution probability tcdf 144 student z distribution probability density function tpdf 144 sub substring 143 subtraction 153 subtraction and negation examples 13 subtraction key 13 sum summation 143 support and service 179 system variables 154 T T transpose matrix 149 tables building 23 tan tangent 143 tan arctangent 143 tangent tan 143 Tangent draw line 143 tanh hyperbolic tangent 143 tanh hyperbolic arctangent 143 tcdf student z distribution probability 144 Text instruction 144 Then 124 TI Connect 102 Time axes format 144 time value of money TVM formulas 159 tvm_FV future value 145 tvm_ interest rate 145 tvm_N payment periods 145 tvm_Pmt payment amount 145 tvm_PV present value 145 timeCnv convert time 144 Tinterval one sample confidence interval 144 tpdf student r distribution probability density function 144 TRACE Trace instruction in a program 144 transmitting error conditions 108 from a TI 83 107 from a TI 83 Plus Silver Edition or TI 83 Plus 107 from a TI 84 Plus Silver Edition or TI 84 Plus 107 stopping 104 to a TI
121. not toll free 972 917 8324 For product hardware service Customers in the U S Canada Mexico Puerto Rico and Virgin Islands Always contact Texas Instruments Customer Support before returning a product for service All other customers Refer to the leaflet enclosed with this product hardware or contact your local Texas Instruments retailer distributor Appendix B General Information 179 Texas Instruments TI Warranty Information Customers in the U S and Canada Only One Year Limited Warranty for Commercial Electronic Product This Texas Instruments TI electronic product warranty extends only to the original purchaser and user of the product Warranty Duration This TI electronic product is warranted to the original pur chaser for a period of one 1 year from the original purchase date Warranty Coverage This TI electronic product is warranted against defec tive materials and construction THIS WARRANTY IS VOID IF THE PRODUCT HAS BEEN DAMAGED BY ACCIDENT OR UNREASONABLE USE NEGLECT IMPROPER SERVICE OR OTHER CAUSES NOT ARISING OUT OF DEFECTS IN MATERIALS OR CONSTRUCTION Warranty Disclaimers ANY IMPLIED WARRANTIES ARISING OUT OF THIS SALE INCLUDING BUT NOT LIMITED TO THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE LIMITED IN DURATION TO THE ABOVE ONE YEAR PERIOD TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS OF USE OF THE PROD UCT OR OTHER INCIDENTAL OR CONSEQUEN
122. nteger After you position the cursor and press ENTER sets the change in X and Y to whole number increments 9 ZoomStat Sets the values for currently defined statistical lists 0 ZoomFit Fits Ymin and Ymax between Xmin and Xmax Building a table Tables are useful tools for comparing values for a function at multiple points Getting Started 23 Example Build a table to evaluate the function Y X 2X at each integer between 10 and 10 Press Result MODE ENTER sets function graphing mode X T n MATH 3 E 2 K Lo 7 2nd TBLSET Th1s aTh 1 O ENTER sets TblStart default settings shown for the other fields are appropriate 2nd TABLE 24 Getting Started Note Press repeatedly to see the changes in X and Y Clearing the Y Editor Before proceeding with the remaining examples in this guidebook clear the Y Editor Press Result Y Floki Flake Flats CLEAR Using the CATALOG The CATALOG is an alphabetic list of all functions and instructions on the TI 84 Plus Some of these items are also available on keys and menus To select from the CATALOG 1 Position the cursor where you want to insert the item 2 Press CATALOG 3 Press or 4 to move the gt indicator to the function or instruction You can move quickly down the
123. on first nert S T YepaceT sine T e 41 n 2 4348232 Y 19 97649 You can use to in effect take snapshots in time and explore the relative behavior of two objects in motion Activities Demonstrating the Fundamental Theorem of Calculus Problem 1 Using the functions fnint and nDeriv from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that F x f dt In x x gt 0 and that 1 Dx f Procedure 1 1 Press MODE Select the default settings 2 Press WINDOW Set the viewing window if x Xmin 01 Ymin 1 5 Xres 3 Xmax 10 Ymax 2 5 Xscl 1 Yscl 1 3 Press y Turn off all functions and stat plots Enter the numerical integral of 1 T from 1 to X and the function In X Set the graph style for Y1 to line and Y2 to path Floti Plokz Flot wif Alntcl Ts Ts oY SB1nCxD 4 Press TRACE Press 4 4 gt and to compare the values of Y1 and Y2 5 Press Y Turn off Y1 and Y2 and then enter the numerical derivative of the integral of 1 X and the function 1 X Set the graph style for Y3 to line and Y4 to thick Floti Plokz Flot i fAlntel TsTs 1 43 oVE 1NOX st sBrnDerive is ks a Subs Activities 71 6 Press TRACE Again use the cursor keys to compare the values of the two graphed functions Y3 and Y4 VESNDEriVO HORI WERASHES79 Y 31266632 M22 1902979 Y 31266621 Problem 2 Explore the functions defi
124. on probability DISTR between Jowerbound and 2 normalcdf upperbound for the specified u and o normalpdf x u 0 Computes the probability DISTR density function forthe DISTR normal distribution ata 1 normalpdf specified x value for the specified u and o not value Returns 0 if value is 0 TEST value can be a real LOGIC number expression or 4 not list valueA nPr valueB Returns the number of permutations of valueA PRB taken valueB at a time 2 nPr value nPr list Returns a list of the permutations of value PRB taken each element in ist 2 nPr at a time list nPr value Returns a list of the permutations of each PRB element in ist taken value 2 nPr at a time listA nPr listB Returns a list of the permutations of each PRB element in istA taken 2 nPr each element in istB at a time Computes the sum of the 1 Finance present values for cash CALC npv interest rate CF0 CFList CFFreq inflows and outflows 7 npv valueA or valueB Returns 1 if valweA or TEST valueB is 0 valueA and LOGIC valueB can be real 2 or numbers expressions or lists 130 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item Output ow column Displays text beginning at t PRGM text specified row and column WO 6 Output Output ow column Displays value beginning t PRGM value at specified row and 1 0 column 6 Outpu
125. on solving 38 mode settings 20 rand function 26 running applications 45 sending variables 99 setting graphing window 22 solving trigonometric functions 28 statistical list editor 31 storing values 15 16 17 subtraction and negation 13 turning off grid points 10 ungrouping variables 41 using parentheses 14 exponential regression ExpReg 119 expr string to expression conversion 118 ExpReg exponential regression 119 expression converting from string expr 118 turning on and off ExprOn 119 expressions deleting 11 editing 11 entering 4 ExprOff expression off 119 ExprOn expression on 119 F Faceplates 5 factorial 27 149 Fill 119 finding factorials 27 least common multiples 27 186 Index Fix fixed decimal mode 119 fixed decimal mode Fix 119 Float floating decimal mode 119 floating decimal mode Float 119 fMax function maximum 119 fMin function minimum 120 fnint function integral 120 FnOff function off 120 FnOn function on 120 For 120 formulas amortization 160 ANOVA 156 cash flow 161 days between dates 162 interest rate conversions 161 logistic regression 155 sine regression 155 time value of money 159 two sample F Test 156 two sample t test 157 fPart fractional part 120 Full full screen mode 121 full screen mode Full 121 Func function graphing mode 121 function graphing maximum of fMax 119 minimum of fMin 120 modes 121 selecting 120 function integ
126. onto the PV prompt and then press SOLVE The present value or mortgage amount of the house is displayed at the PV prompt Activities 75 Now compare the graph of the amount of interest with the graph of the amount of principal for each payment 4 5 76 Press MODE Set Par and Simul Press y Turn off all functions and stat plots Enter these equations and set the graph styles as shown Floti Floke Flok sa4i7T BT WairBEPrntT T eT BT MerBeInt lt T T ST VYarBYirtver Note gt Prn and int are located on the FINANCE menu APPS 1 FINANCE Press WINDOW Set these window variables Tmin 1 Xmin 0 Ymin 0 Tmax 360 Xmax 360 Ymax 1000 Tstep 12 Xscl 10 Yscl 100 Note To increase the graph speed change Tstep to 24 Press TRACE After the graph is drawn press 240 to move the trace cursor to T 240 which is equivalent to 20 years of payments VIT EP ROTTS es PS saara The graph shows that for the 240th payment X 240 358 03 of the 800 payment is applied to principal Y 358 03 Note The sum of the payments Y3T Y1T Y2T is always 800 Press to move the cursor onto the function for interest defined by X2T and Y2T Enter 240 Activities VEr EINeTs 4 EAEE A The graph shows that for the 240th payment X 240 441 97 of the 800 payment is interest Y 441 97 9 Press Quit 9 to paste 9 bal to the home screen Check the figures from the graph At which
127. or archive memory you can reset variables Vars applications Apps or both of these Be aware that if you choose to reset Vars all data and programs in archive memory will be erased If you choose to reset Apps all applications in archive memory will be erased When you reset defaults on the TI 84 Plus all defaults in RAM are restored to the factory settings Stored data and programs are not changed These are some examples of TI 84 Plus defaults that are restored by resetting the defaults e Mode settings such as Normal notation Func graphing Real numbers and Full screen e Y functions off e Window variable values such as Xmin 10 Xmax 10 Xscl 1 Yscl 1 and Xres 1 e Stat plots off e Format settings such as CoordOn graphing coordinates on AxesOn and ExprOn expression on e rand seed value to 0 Displaying the RAM ARCHIVE ALL Menu To display the RAM ARCHIVE ALL menu on the TI 84 Plus follow these steps 1 Press MEM to display the MEMORY menu 2 Select 7 Reset to display the RAM ARCHIVE ALL menu Memory and Variable Management 87 ARCHIVE ALL 11 FAM Defaults Resetting RAM Memory Resetting all RAM restores RAM system variables to factory settings and deletes all nonsystem variables and all programs Resetting RAM defaults restores all system variables to default settings without deleting variables and programs in RAM Resetting all RAM or resetting defaults does not affect vari
128. pt for system variables you can store any string of characters functions instructions or variables to the functions Yn 1 through 9 and 0 XnT YnT 1 through 6 rn 1 through 6 u n v n and w n directly or through the Y editor The validity of the string is determined when the function is evaluated Archive Variables You can store data programs or any variable from RAM to user data archive memory where they cannot be edited or deleted inadvertantly Archiving also allows you to free up RAM for variables that may require additional memory The names of archived variables are preceded by an asterisk 4 11 indicating they are in user data archive System Variables The variables below must be real numbers You may store to them Since the TI 84 Plus can update some of them as the result of a ZOOM for example you may want to avoid using these variables to store nongraphing data e Xmin Xmax Xscl AX XFact Tstep PlotStart nMin and other window variables 154 Appendix A Tables and Reference Information e ZXmin ZXmax ZXscl ZTstep ZPlotStart Zu nMin and other ZOOM variables The variables below are reserved for use by the TI 84 Plus You cannot store to them n X Sx ox minX maxX Gy Ly Lxy a b c RegEQ x1 x2 y1 z t F x2 X1 Sx1 n1 lower upper r R and other statistical variables Statistics Formulas This section contains statistics formulas for the Logistic and SinReg regr
129. r t x y and 6 cannot be archived Apps and Groups always exist in Flash ROM so there is no need to archive them Groups cannot be unarchived However you can ungroup or delete them Archive UnArchive Variable Type Names yes no yes no Real numbers A B Z yes yes Complex A B Z yes yes numbers Matrices A B C J yes yes Memory and Variable Management 83 Archive UnArchive Variable Type Names yes no yes no Lists L1 L2 L3 L4 L5 L6 yes yes and user defined names Programs yes yes Functions Y1 Y2 Y9 YO no not applicable Parametric X1T and Y1T X6T no not equations and Y6T applicable Polar functions r1 r2 r3 r4 r5 r6 no not applicable Sequence u v w no not functions applicable Stat plots Plot1 Plot2 Plot3 no not applicable Graph GDB1 GDB2 yes yes databases Graph pictures Pict Pic2 Pic9 yes yes PicO Strings Str1 Str2 Str9 yes yes stro Tables TbhiStart Tb1 TblInput no not applicable Apps Applications see Note no above AppVars Application variables yes yes Groups see Note no above Variables with minX maxX RegEQ no not reserved names and others applicable System variables Xmin Xmax and no not others applicable 84 Memory and Variable Management Archiving and unarchiving can be done in two ways e Use the 5 Archive or 6 UnArch
130. r of first date M2 month of second date DT2 day of second date Y2 year of second date MB base month January DB base day 1 YB base year first year after leap year 162 Appendix A Tables and Reference Information Appendix B General Information Battery Information When to Replace the Batteries The TI 84 Plus uses five batteries four AAA alkaline batteries and one SR44SW or 303 silver oxide backup battery The silver oxide battery provides auxiliary power to retain memory while you replace the AAA batteries When the battery voltage level drops below a usable level the TI 84 Plus Displays this message when Displays this message when you you turn on the unit attempt to download an application Batteries are low Change is required batteries Message A Message B After Message A is first displayed you can expect the batteries to function for about one or two weeks depending on usage This one week to two week period is based on tests with alkaline batteries the performance of other types of batteries may vary If Message B is displayed you must replace the batteries immediately to successfully download an application Replace the silver oxide battery every three or four years Effects of Replacing the Batteries Do not remove both types of batteries AAA and silver oxide at the same time Do not allow the batteries to lose power completely If you follow these guidelines and t
131. ral fnint 120 functions and instructions table 111 G garbage collecting 93 GarbageCollect 95 121 gcd greatest common divisor 121 geometcdf 121 geometpdf 121 Get get data from CBL 2 CBL or CBR 121 GetCalc get data from a TI 84 Plus 122 getDate get current date 122 getDtFmt get date format 122 getDtStr get date string 122 getKey 122 getTime get current time 123 getTmFmt get time format 123 getTmStr get time string 123 Goto 123 graphing modes 20 graphing functions 17 18 graphing window setting 21 GraphStyle 123 graph table split screen mode G T 123 greater than gt 150 greater than or equal to 151 greatest common divisor gcd 121 greatest integer int 125 GridOff 123 GridOn 123 grouping 39 90 G T graph table split screen mode 123 Home screen 2 Horiz horizontal split screen mode 123 Horizontal draw line 124 identity 124 If instructions If 124 If Then 124 If Then Else 124 imag imaginary part 124 imaginary part imag 124 increment and skip IS gt 125 independent variable 124 IndpntAsk 124 IndpntAuto 124 Input 124 installation instructions Macintosh 45 Windows 44 installing applications 44 Installing New Faceplates 6 Installing new faceplates 6 inString in string 125 Index 187 int greatest integer 125 integer part iPart 125 interest rate conversions formula 161 internal rate of return irr 125 inverse 1 151
132. reen a blank screen with a flashing cursor The home screen is where you enter problems and see results If you pressed above and you still do not see a blank home screen press the key followed by the key to select QUIT 2 Getting Started Example Add 2 3 on the home screen Press Result 2 3 2 3 ENTER 2 3 Entry line Answer line Note Results are displayed on the next line the answer line not on the entry line Example Multiply 5 x 4 Press Result Re ia 2H ENTER E and ALPHA keys Most keys on the TI 84 Plus can perform two or more functions To use a function printed on a key press the key To use a function printed above a key you must first press the key or the key key Second functions are printed above the keys the same color as the key Some secondary functions enter a function or a symbol on the home screen sin or 1 for example Others display menus or editors To view the ANGLE menu for example look for ANGLE above the key near the top of the TI 84 Plus keyboard Press the key and then release it and then press APPS In this guidebook the key combination is indicated by ANGLE not APPS Getting Started 3 Note The flashing cursor changes to H when you press the key ALPHA key The key lets you enter the alphabetic characters and some special symbols To enter T for example press and then release it and then press 4 In
133. refore the result displayed may not be accurate to all eight displayed digits For most functions at least five accurate digits exist For fMin fMax and fnint on the MATH menu and solve in the CATALOG the tolerance can be specified Appendix B General Information 177 Function Limits Function sin x cos x tan x Range of Input Values 0 lt x lt 101 radian or degree 1 1 sin x cos x 1 lt x lt 1 In x log x 107100 lt x lt 10100 ex 10100 lt x lt 230 25850929940 10x 10100 lt x lt 100 sinh x cosh x x lt 230 25850929940 tanh x bx lt 10100 sinh 1 x Ix lt 5 x 109 cosh 1 x 1 lt x lt 5x 10 tanh x 1 lt x lt 1 x real mode 0 lt x lt 10100 x complex mode x lt 10100 x 5 lt x lt 69 where x is a multiple of 5 Function Results Function Range of Result sin x tan x 90 to 90 or 2 2 to m 2 radians cos 1x 0 to 180 or 0 to x radians 178 Appendix B General Information Texas Instruments Support and Service For general information Home Page education ti com KnowledgeBase and e mail inquires education ti com support Phone 800 TI CARES 800 842 2737 For U S Canada Mexico Puerto Rico and Virgin Islands only International information education ti com international For technical support KnowledgeBase and support by e mail education ti com support Phone
134. rentheses where the rules of algebra may not be clear If you are using trigonometric functions or performing polar and rectangular conversions the unexpected results may be caused by an angle mode setting The Radian and Degree angle mode settings control how the TI 84 Plus interprets angle values To change the angle mode settings follow these steps 1 Press to display the Mode settings 2 Select Degree or Radian 3 Press to save the angle mode setting Appendix B General Information 165 ERR DIM MISMATCH Error Your TI 84 Plus displays the ERR DIM MISMATCH error if you are trying to perform an operation that references one or more lists or matrices whose dimensions do not match For example multiplying L1 L2 where L1 1 2 3 4 5 and L2 1 2 produces an ERR DIM MISMATCH error because the number of elements in L1 and L2 do not match ERR INVALID DIM Error The ERR INVALID DIM error message may occur if you are trying to graph a function that does not involve the stat plot features The error can be corrected by turning off the stat plots To turn the stat plots off press STAT PLOT and then select 4 PlotsOff Contrast Feature If the contrast setting is too dark set to 9 or too dim set to 0 the unit may appear as if it is malfunctioning or turned off To adjust the contrast press and release 2nd and then press and hold 4 or 7 TI 84 Plus Identification Code Your graphing handheld has a unique identifica
135. res KnowledgeBase searches its repository of known solutions and presents you with the solutions that are most likely to solve your problem You can search the Tl Cares KnowledgeBase at education ti com support In Case of Difficulty Handling a Difficulty To handle a difficulty follow these steps 1 If you cannot see anything on the screen you may need to adjust the graphing handheld contrast To darken the screen press and release Rnd and then press and hold until the display is sufficiently dark To lighten the screen press and release 2nd and then press and hold until the display is sufficiently light 2 Ifan error menu is displayed follow these steps e Note the error type ERR error type e Select 2 GOTO if it is available The previous screen is displayed with the cursor at or near the error location e Deteremine the error e Correct the expression Refer to the Error Conditions table for details about specific errors if necessary Appendix B General Information 167 168 If the busy indicator dotted line is displayed a graph or program has been paused the TI 84 Plus is waiting for input Press to continue or press to break If a checkerboard cursor is displayed then either you have entered the maximum number of characters in a prompt or memory is full If memory is full e Press MEM 2 to display the MEMORY MANAGEMENT DELETE menu e Select the type of data you want to dele
136. right edge of the graphing handheld 1 Firmly insert either end of the USB unit to unit cable into the USB port 2 Insert the other end of the cable into the other graphing handheld s USB port I O Unit to Unit Cable The TI 84 Plus I O link port is located at the top left edge of the graphing handheld 1 Firmly insert either end of the I O unit to unit cable into the port 2 Insert the other end of the cable into the other graphing handheld s I O port TI 84 Plus to a TI 83 Plus using I O Unit to Unit Cable The TI 84 Plus I O link port is located at the top left edge of the graphing handheld The TI 83 Plus I O link port is located at the bottom edge of the graphing handheld 1 Firmly insert either end of the I O unit to unit cable into the port 2 Insert the other end of the cable into the other graphing handheld s I O port Linking to the CBL CBR System The CBL 2 and the CBR are optional accessories that also connect to a TI 84 Plus with the I O unit to unit cable With a CBL 2 or CBR and a TI 84 Plus you can collect and analyze real world data Communication Link 101 Linking to a Computer With TI Connect software and the USB computer cable that is included with your TI 84 Plus you can link the graphing handheld to a personal computer Selecting Items to Send LINK SEND Menu To display the LINK SEND menu press LINK S
137. rmation Error Conditions When the TI 84 Plus detects an error it returns an error message as a menu title such as ERR SYNTAX or ERR DOMAIN This table contains each error type possible causes and suggestions for correction The error types listed in this table are each preceded by ERR on your graphing handheld display For example you will see ERR ARCHIVED as a menu title when your graphing handheld detects an ARCHIVED error type Error Type Possible Causes and Suggested Remedies ARCHIVED You have attempted to use edit or delete an archived variable For example the expression dim L1 produces an error if L1 is archived ARCHIVE FULL You have attempted to archive a variable and there is not enough space in archive to receive it ARGUMENT A function or instruction does not have the correct number of arguments See Appendix A for function and instruction syntax Appendix A displays the arguments and punctuation needed to execute the function or instruction For example stdDev ist freqlist is a function of the TI 84 Plus The arguments are shown in italics The arguments in brackets are optional and you need not type them You must also be sure to separate multiple arguments with a comma For example stdDev list freqglist might be entered as stdDev L1 or stdDev L1 L2 since the frequency list or freqlist is optional BAD ADDRESS You have attempted to send or receive an application and an error e g ele
138. s TRACE FA HLEFT EJ il lt Men s left hand data Men s right hand data Press 4 and gt to examine minX Q1 Med Q3 and maxX for each plot What difference do you see between the plots 10 Compare the left hand results Redefine plot 1 to use WLEFT redefine plot 2 to use MLEFT and then press to examine minX Q1 Med Q3 and maxX for each plot Who were the better left hand guessers men or women 11 Compare the right hand results Define plot 1 to use WRGHT define plot 2 to use MRGHT and then press to examine minX Q1 Med Q3 and maxx for each plot Who were the better right hand guessers In the original experiment boys did not guess as well with right hands while girls guessed equally well with either hand This is not what our box plots show for adults Do you think that this is because adults have learned to adapt or because our sample was not large enough Graphing Piecewise Functions Problem The fine for speeding on a road with a speed limit of 45 kilometers per hour kph is 50 plus 5 for each kph from 46 to 55 kph plus 10 for each kph from 56 to 65 kph plus 20 for each kph from 66 kph and above Graph the piecewise function that describes the cost of the ticket The fine Y as a function of kilometers per hour X is Y 0 0 lt X lt 45 Y 50 5 X 45 45 lt X lt 55 Y 50 5 10 10 X 55 55 lt X lt 65 Y 50 5 10 10 10 20 X 65 65 lt X Activities 59 Procedure 1
139. s isesi iiseriiorieraioiedi riasan aiaa 14 St ring a ValW Cee vent naiera ea aaa aa aatan amia e EARE aan 15 Graphing a functionand a aE ea 17 Changing mode settings cccccccceseceeseseeeeseeeeeeeeeesseeeeseeeesseees 18 Setting the graphing WINdOW ssssssssssssesseserssirsrnsrrssinsinsrnsennens 21 USING Aroa a a e E E E E 23 Building a table ccecccccceeceeeeeeeeeeeeeceeeeeeeceeeeeeeeesseeeeesseeeeeaes 23 Using the CATALOG cc ccccecceeeeneeeeeeeeeseeeeeseneessneesseneeessaeeeseaes 25 Performing simple Calculations ccscccscccesccsseeseesseessseeseeenees 26 Using the equation solver cccccccesseeeseseeeeeseeeeseeeeseeeeeseneeesaes 28 Entering data into lists striemin iiaia aaa 30 PIOCCING o F nE PEETRE AT T E 32 Calculating a linear regression cccssccceseseeeeeeeeesseeeeseneeeeneees 35 Calculating statistical variables ccccccceseseceeseeeeeseeeseneeeeseees 36 Using the MATRIX Editor ccccsccceseeeeeeeeeeseeeeeeeeessneeeeseneeeeees 37 GOUDPING PE E TT wile elt eo 39 UNGrOUBING 208 oveehave Aa G ots ee Se ee eet 41 Error messages ai etaa aana ene aaa aeaa a aa N aE Ea Na 42 Resetting defaults sc sleciveccscesssccediedsciecsatvestadscsesdinevscvsdeisvseesectaatess 43 Installing applications cecccceesceeeseeeeseeeeeseneeeeeeeesseeesseneeeaes 44 RUNNING applications cccecceesseeeeeeeeeeeeeeeeeeaeeeeeaeeeseeeeessneessaees 45 Quick reference s
140. s the hyperbolic 2nd CATALOG arcsine of a real number sinh 1 expression or list Appendix A Tables and Reference Information 141 Function or Instruction Key or Keys Menu Arguments Result or Screen Item SinReg iterations Attempts iterations times STAT Xlistname Ylistname to fit a sinusoidal CALC period regequ regression model to C SinReg Xlistname and Ylistname using a period guess and stores the regression equation to regequ solve expression variable Solves expression for t guess lower upper variable given an initial MATH guess and lower and upper O solve bounds within which the solution is sought SortA listname Sorts elements of listname LIST in ascending order OPS 1 SortA SortA keylistname Sorts elements of LIST dependlist1 dependlist2 keylistname in ascending OPS dependlist n order then sorts each 1 SortA dependlist as a dependent list SortD Jistname Sorts elements of listname LIST in descending order OPS 2 SortD SortD keylistname dependl Sorts elements of LIST ist1 dependlist2 keylistname in descending OPS dependlist n order then sorts each 2 SortD dependlist as a dependent list startTmr Starts the clock timer CATALOG Store or note the startTmr displayed value and use it as the argument for checkTmr to check the elapsed time stdDev list fregiist Returns the standard LIST deviation of the elements MATH in dist with
141. sion error does not occur these two conditions may prevent successful transmission You try to use Get with a graphing handheld instead of a CBL 2 or CBR You try to use GetCalc with a TI 83 instead of a TI 84 Plus or TI 84 Plus Silver Edition Insufficient Memory in Receiving Unit During transmission if the receiving unit does not have sufficient memory to receive an item the Memory Full menu is displayed on the receiving unit To skip this item for the current transmission select 1 Omit Transmission resumes with the next item To cancel the transmission and exit receive mode select 2 Quit Communication Link 109 110 Communication Link Appendix A Tables and Reference Information Table of Functions and Instructions Functions return a value list or matrix You can use functions in an expression Instructions initiate an action Some functions and instructions have arguments Optional arguments and accompanying commas are enclosed in brackets For details about an item including argument descriptions and restrictions turn to the page listed on the right side of the table From the CATALOG you can paste any function or instruction to the home screen or to a command line in the program editor However some functions and instructions are not valid on the home screen The items in this table appear in the same order as they appear in the CATALOG t indicates either keystrokes that are valid in
142. splays the graph you have defined TRACE Lets you move the cursor along the graphed function using 4 and P Getting Started 17 To graph a function you must 1 Display the Y Editor 2 Enter the function 3 Display the graph Note If you previously changed graph type in the mode settings you must change the type back to Func the default setting before you graph Example Graph the function Y X 1 Press Result Y Floki Flake Flats KTO x2 4 1 GRAPH Note If Y1 is not empty press CLEAR If there are additional entries in the Y Editor press CLEAR until all are clear Changing mode settings The mode settings determine how entries are interpreted and how answers are displayed on the TI 84 Plus 18 Getting Started Example Change the mode setting for decimals from Float to 3 decimal places Press Result MODE FIPIDIDIC ENTER ml Horiz G T QUIT 1023456 ENTER 1 23456 1 235 Note You must press ENTER to change a mode setting If you highlight the setting and then exit the mode menu without pressing ENTER the setting will not be changed The mode menu includes the following settings Setting Choices Numeric e Normal for example 12345 67 notation e Sci scientific for example 1 234567E4 e Eng engineering for example 12 34567E3 Decimal e
143. storing a variable and an application To resolve the problem use the GarbageCollect command to optimize memory If memory is still insufficient you must delete variables or applications to increase space Memory and Variable Management 97 98 Memory and Variable Management Communication Link Getting Started Sending Variables Getting Started is a fast paced introduction Read the chapter for details Create and store a variable and a matrix and then transfer them to another TI 84 Plus 1 On the home screen of the sending unit 530 press 5 5 ST0 gt ALPHA Q Press ENTER to a store 5 5 to Q 1 2 3 4 A 2 Press a t RIN 10 2 ma aw 3 rtd 41 4 2nd 1 2nd 1 STO 2nd MATRIX 1 Press ENTER to store the matrix to A 3 On the sending unit press 2nd MEM to display the MEMORY menu out hen Mamt Del iClear Entries 4 ClrAllLists SI APCHIi ve 6 UnArchive Tl Feset 4 On the sending unit press 2 to select 2 Mem Mgmt Del The MEMORY MANAGEMENT menu is displayed 5 On the sending unit press 5 to select RAM 5 Matrix The MATRIX editor screen is ARC displayed ae 6 On the sending unit press to archive RAR A An asterisk will appear signifying ARC that A is now archived tI Communication Link 99 7 Connect the graphing handhelds with the USB unit to unit cable Push both ends in firmly 8 On the receiving unit press nd Link P to EEND RECEIVE
144. t Param Sets parametric graphing t MODE mode Par Pause Suspends program t PRGM execution until you press CTL ENTER 8 Pause Pause value Displays value suspends t PRGM program execution until CTL you press ENTER 8 Pause Plot type Xlistname Defines Plot 1 2 or 3 t 2nd STAT PLOT Ylistname mark of type Scatter or xyLine STAT PLOTS for Xlistname and Ylistname 1 Plot1 using mark 2 Plot2 3 Plot3 Plot type Xlistname Defines Plot 1 2 or3 t STAT PLOT freqlist of type Histogram or STAT PLOTS Boxplot for Xlistname with 1 Plot1 frequency freqlist 2 Plot2 3 Plot3 Plot type Xlistname Defines Plot 1 2 or3 t STAT PLOT freqlist mark of type ModBoxplot for STAT PLOTS Xlistname with frequency 1 Plot1 freqlist using mark 2 Plot2 3 Plot3 Plot type datalistname Defines Plot 1 2 or3 t STAT PLOT data axis mark of type NormProbPlot for STAT PLOTS datalistname on data axis 1 Plot1 using mark data axis can 2 Plot2 be X or Y 3 Plot3 PlotsOff 1 2 3 Deselects all stat plots or STAT PLOT one or more specified stat STAT PLOTS plots 1 2 or 3 4 PlotsOff Appendix A Tables and Reference Information 131 Function or Instruction Key or Keys Menu Arguments Result or Screen Item PlotsOn 1 2 3 Selects all stat plots or STAT PLOT one or more specified stat STAT PLOTS plots 1 2 or 3 5 PlotsOn Pmt_Bgn Specifies an annuity due 1 Finance where payments occur at CALC the b
145. t and upper integer bounds for a specified number of trials numtrials randM rows columns Returns a random matrix MATRIX of rows 1 99 x columns MATH 1 99 6 randM randNorm i 0 Generates and displays a numtrials random real number from PRB a specified Normal distribution specified by u and o for a specified number of trials numtrials 6 randNorm re i Sets the mode to polar t complex number mode re i re i Real Sets mode to display t complex results only Real when you enter complex numbers real value Returns the real part of a complex number or list of CPX complex numbers 2 real Appendix A Tables and Reference Information 135 Function or Instruction Key or Keys Menu Arguments Result or Screen Item RecallGDB n Restores all settings 2nd DRAW stored in the graph STO database variable GDBn 4 RecallGDB RecallPic n Displays the graph and 2nd DRAW adds the picture stored in STO Picn 2 RecallPic complex value Rect Displays complex value or MATH list in rectangular format CPX 6 gt Rect RectGC Sets rectangular graphing t FORMAT coordinates format RectGC ref matrix Returns the row echelon MATRIX form of a matrix MATH A ref Repeat condition Executes commands until t tcommands condition is true CTL End 6 Repeat commands Return Returns to the calling t program CTL E Return round value decimals Returns a number MATH expression l
146. te or select 1 All for a list of all variables of all types A screen is displayed listing each variable of the type you selected and the number of bytes each variable is using e Press 4 and to move the selection cursor gt next to the item you want to delete and then press DEL If the graphing handheld does not seem to work at all be sure the alkaline batteries are fresh and that they are installed properly If the TI 84 Plus does not function even though you are sure that the batteries are fresh you can try manually resetting it e Remove all of the AAA batteries from the graphing handheld e Press and hold the key for ten seconds e Replace the batteries e Turn on the unit When you reset your graphing handheld the contrast sometimes changes If the screen is faded or blank adjust the contrast by pressing and releasing 4 or If the above solutions do not work you can reset all of the memory The RAM user data archive memory and system variables are restored to factory settings when you reset all memory All nonsystem variables applications Apps and programs are deleted e Press MEM to display the MEMORY menu e Select 7 Reset to display the RAM ARCHIVE ALL menu e Press gt gt to display the ALL menu e Select 1 All Memory to display the RESET MEMORY menu e To continue with the reset select 2 Reset The message Mem cleared is displayed on the home screen Appendix B General Info
147. te value 111 accuracy information computational and graphing 176 function limits and results 178 adding complex numbers 28 addition 152 alphabetic characters entering 4 amortization XInt sum of interest 125 Prn sum of principal 132 bal amortization balance 113 formula 160 and Boolean operator 111 angle measure modes 19 angle 111 ANOVA one way variance analysis 112 156 Index 183 Ans last answer 81 112 applications installing 44 running 45 Apps 81 AppVars 81 Archive 83 112 archive full error 97 169 garbage collection 94 memory error 94 archived variables 154 Asm 112 AsmComp 112 AsmPrgm 112 augment 112 Automatic Power Down 2 axes displaying AxesOn AxesOff 112 AxesOff 112 AxesOn 112 backing up calculator memory 104 107 bal amortization balance 113 batteries 163 battery precautions 46 binomcdf 113 binompdf 113 block 94 building tables 23 C y2cdf chi square cdf 113 y2pdf chi square pdf 113 y2 Test chi square test 113 calculating linear regressions 35 statistical variables 36 cash flow formula 161 irr internal rate of return 125 npv net present value 130 CATALOG clearing 25 CBL 2 101 121 CBR 101 121 changing mode settings 18 check memory 79 checkTmr check timer 114 chi square cdf y2cdf 113 chi square pdf y2pdf 113 chi square test y2 Test 113 Circle draw circle 114 Clear Entries 79 114 clearing all
148. the probability DISTR density function pdf for DISTR the x distribution ata 6 pdf specified x value for the specified degrees of freedom df x Test observedmatrix Performs a chi square t expectedmatrix test drawflag 1 draws TESTS Ldrawflag results drawflag 0 C y Test calculates results Appendix A Tables and Reference Information 113 Function or Instruction Key or Keys Menu Arguments Result or Screen Item checkTmr starttime Returns the number of CATALOG seconds since you used checkTmr startTmr to start the timer The starttime is the value displayed by startTmr Circle X Y radius Draws a circle with center 2nd DRAW X Y and radius DRAW 9 Circle Clear Entries Clears the contents of the 2nd MEM Last Entry storage area MEMORY 3 Clear Entries ClockOff Turns off the clock display 2nd CATALOG in the mode screen ClockOff ClockOn Turns on the clock display 2nd CATALOG in the mode screen ClockOn CIrAllLists Sets to 0 the dimension of 2nd MEM all lists in memory MEMORY 4 CIrAllLists ClrDraw Clears all drawn elements 2nd DRAW from a graph or drawing DRAW 1 ClrDraw ClrHome Clears the home screen t 1 0 8 ClrHome ClrList istname1 Sets to 0 the dimension of STAT listname2 wn one or more listnames EDIT listname n 4 ClrList ClirTable Clears all values from the t table 1 0 9 ClrTable conj value Returns the
149. the program editor only or ones that paste certain instructions when you are in the program editor Some keystrokes display menus that are available only in the program editor Others paste mode format or table set instructions only when you are in the program editor Function or Instruction Key or Keys Menu Arguments Result or Screen item abs value Returns the absolute MATH value of a real number NUM expression list or matrix 1 abs abs complex value Returns the magnitude of MATH a complex number or list CPX 5 abs valueA and valueB Returns 1 if both valued 2nd TEST and valueB are 0 valueA LOGIC and valueB can be real 1 and numbers expressions or lists angle value Returns the polar angle of acomplex number or CPX list of complex numbers 4 angle Appendix A Tables and Reference Information 111 Function or Instruction Key or Keys Menu Arguments Result or Screen Item ANOVA ist list2 Performs a one way STAT list3 list20 analysis of variance for TESTS comparing the means of F ANOVA two to 20 populations Ans Returns the last answer ANS Archive Moves the specified MEM variables from RAM to 5 Archive the user data archive memory Asm assemblyprgmname Executes an assembly CATALOG language program Asm AsmComp prem4SM1 Compiles an assembly CATALOG prgmASM2 language program AsmComp written in ASCII and stores the hex version AsmPrgm M
150. there is no guarantee that interference will not occur in a particular installation If this equipment does cause harmful interference to radio or television reception which can be determined by turning the equipment off and on you can try to correct the interference by one or more of the following measures e Reorient or relocate the receiving antenna e Increase the separation between the equipment and receiver e Connect the equipment into an outlet on a circuit different from that to which the receiver is connected e Consult the dealer or an experienced radio television technician for help Caution Any changes or modifications to this equipment not expressly approved by Texas Instruments may void your authority to operate the equipment iii About the TI 84 Plus and TI 84 Plus Silver Edition The TI 84 Plus Silver Edition is the same as the TI 84 Plus except e it has more memory and thus more spaces for graphing handheld software applications Apps e it has interchangeable faceplates that let you customize the appearance of your TI 84 Plus Silver Edition Since all the functions of the TI 84 Plus Silver Edition and the TI 84 Plus are the same this guidebook can be used for either the TI 84 Plus or the TI 84 Plus Silver Edition The CD included with your TI 84 Plus TI 84 Plus Silver Edition package also includes an electronic guidebook which is a complete reference manual for the TI 84 Plus TI 84 Plus Silver E
151. tion ID code that you should record and keep You can use this 14 digit ID to register your handheld at education ti com or identify your handheld in the event that it is lost or stolen A valid ID includes numbers 0 through 9 and the letters A through F You can view the handheld s Operating System Product Number ID and Certificate Revision Number from the About screen To display the About screen press MEM and then select 1 About TI B4 Flus Silver Edition ze PROD 0A 2 02 14 ID 0 3C3 790F1 E362 Hele education ki cor Your unique product ID code 166 Appendix B General Information Backups Your TI 84 Plus is similar to a computer in that it stores files and Apps that are important to you It is always a good idea to back up your graphing handheld device files and Apps using the TI Connect software and a USB computer cable You can find the specific procedures for backing up your handheld s device files and Apps in the TI Connect Help file Apps TI 84 Plus Software Applications Apps is software that you can add to your handheld in the same way you would add software to your computer Apps let you customize your handheld for peak performance in specific areas of study You can find apps for the TI 84 Plus at the TI Online Store at education ti com TI Cares KnowledgeBase The Tl Cares KnowledgeBase provides 24 hour access through the Web to find answers to frequently asked questions The Tl Ca
152. tion or Instruction Arguments dayOfWk year month day Result Returns an integer from 1 to 7 with each integer representing a day of the week Use dayOfWk to determine on which day of the week a particular date would occur The year must be 4 digits month and day can be 1 or 2 digit Key or Keys Menu or Screen iItem CATALOG dayOfwk 1 Sunday 2 Monday 3 Tuesday dbd date1 date2 Calculates the number of 1 Finance days between datel and CALC date2 using the actual day D dbd count method valueyDec Displays a real or complex number expression list MATH or matrix in decimal 2 gt Dec format Degree Sets degree angle mode t MODE Degree DelVar variable Deletes from memory the t PRGM contents of variable CTL G DelVar DependAsk Sets table to ask for t 2nd TBLSET dependent variable Depend Ask values DependAuto Sets table to generate t 2nd TBLSET dependent variable Depend Auto values automatically det matrix Returns determinant of MATRIX matrix MATH 1 det DiagnosticOff Sets diagnostics off mode CATALOG r r2 and R2 are not displayed as regression model results DiagnosticOff 116 Appendix A Tables and Reference Information Function or Instruction Arguments DiagnosticOn Result Sets diagnostics on mode r r2 and R are displayed as regression model results Key or Keys Menu or Screen item CATALOG DiagnosticOn
153. tion or instruction on the entry line you can e Press its key if available For example press LOG or 4 Getting Started e Select it from the CATALOG if the function appears on the CATALOG For example press CATALOG press to move down to log and press to select log or e Select it from a menu if available For example to find the round function press MATH press gt to select NUM then select 2 round Example Enter and evaluate the expression rt x 2 Press Result n x 2 are ENTER ari 6 283185387 Interchangeable Faceplates The TI 84 Plus Silver Edition has interchangeable faceplates that let you customize the appearance of your unit To purchase additional faceplates refer to the TI Online Store at education ti com Removing a Faceplate 1 Lift the tab at the bottom edge of the faceplate away from the TI 84 Plus Silver Edition case 2 Carefully lift the faceplate away from the unit until it releases Be careful not to damage the faceplate or the keypad Getting Started 5 Installing New Faceplates 1 Align the top of the faceplate in the corresponding grooves of the TI 84 Plus Silver Edition case 2 Gently click the faceplate into place Do not force 3 Make sure you gently press each of the grooves to ensure the faceplate is installed properly See the diagram for proper groove placement Using the Clock Use
154. tion screen MEMORY BACKUP Done Error Conditions A transmission error occurs after one or two seconds if 108 A cable is not attached to the sending unit A cable is not attached to the receiving unit Note If the cable is attached push it in firmly and try again The receiving unit is not set to receive transmission You attempt a backup between a TI 73 TI 82 TI 83 TI 83 Plus TI 83 Plus Silver Edition You attempt a data transfer from a TI 84 Plus to a TI 83 Plus TI 83 Plus Silver Edition TI 83 TI 82 or TI 73 with variables or features not recognized by the TI 83 Plus TI 83 Plus Silver Edition TI 83 TI 82 or TI 73 New variable types and features not recognized by the TI 83 TI 83 Plus TI 82 or TI 73 include applications application variables grouped variables new variable types or programs with new features in them such as Archive UnArchive SendID SendOS Asm AsmComp AsmPrgm checkTmr ClockOff ClockOn dayOfWk getDate getDtFmt getDtStr getTime getTmFmt getTmStr isClockOn setDate setDtFmt setTime setTmFmt startTmr and timeCnv You attempt a data transfer from a TI 84 Plus to a TI 82 with data other than real lists L1 through L6 or without using menu item 5 Lists to TI82 You attempt a data transfer from a TI 84 Plus to a TI 73 with data other than real numbers pics real lists L1 through L6 or named lists with 6 as part of the name Communication Link Although a transmis
155. to complete the grouping process Corysing Variables to Group GROUPA Done Note You can only group variables in RAM You cannot group some system variables such as the last answer variable Ans and the statistical variable RegEQ Ungrouping Variables Ungrouping allows you to make a copy of variables in a group stored in user data archive and place them ungrouped in RAM DuplicateName Menu During the ungrouping action if a duplicate variable name is detected in RAM the DUPLICATE NAME menu is displayed DuplicateName 1 Rename Prompts to rename receiving variable 2 Overwrite Overwrites data in receiving duplicate variable 3 Overwrite All Overwrites data in all receiving duplicate variables 4 Omit Skips transmission of sending variable 5 Quit Stops transmission at duplicate variable Notes about Menu Items e When you select 1 Rename the Name prompt is displayed and alpha lock is on Enter a new variable name and then press ENTER Ungrouping resumes 92 Memory and Variable Management e When you select 2 Overwrite the unit overwrites the data of the duplicate variable name found in RAM Ungrouping resumes e When you select 3 Overwrite All the unit overwrites the data of all duplicate variable names found in RAM Ungrouping resumes e When you select 4 Omit the unit does not ungroup the variable in conflict with the duplicated variable name found in RAM Ungrouping resumes with the next
156. turns square root of a__ 2nd v real or complex number expression or list Multiplication Returns valueA times x valueA valueB valueB Multiplication Returns value times each x value list list element Multiplication Returns each ist element x list value times value Multiplication Returns istd elements x listA listB times istB elements Multiplication Returns value times matrix x value matrix elements Multiplication Returns matrixA times x matrixA matrixB matrixB Division valueA valueB Returns valueA divided by valueB Division list value Returns ist elements divided by value Division value list Returns value divided by GJ list elements Division listA listB Returns istA elements divided by istB elements Addition valueA valueB Returns valueA plus valueB Addition list value Returns list in which value is added to each list element 152 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item Addition listA listB Returns Jist4 elements B plus istB elements Addition Returns matrixA elements matrixA matrixB plus matrixB elements Concatenation Concatenates two or string string2 more strings Subtraction Subtracts valueB from B valueA valueB valued Subtraction Subtracts list elements E value list from value Subtraction Subtra
157. urns 1 if valued gt TEST valueA gt valueB valueB Returns 0 if TEST valueA lt valueB valueA and 4 gt valueB can be real or complex numbers expressions or lists Inverse value 1 Returns 1 divided by a x real or complex number or expression Inverse list 1 Returns 1 divided by list x elements Inverse matrix 1 Returns matrix inverted x Square value Returns value multiplied x2 by itself value can be a real or complex number or expression Square list Returns Jist elements squared Square matrix Returns matrix multiplied by itself Powers value power Returns value raised to power value can be a real or complex number or expression Powers list power Returns list elements raised to power Powers valuelist Returns value raised to list 0 elements Powers matrix power Returns matrix elements raised to power Negation value Returns the negative ofa 0 real or complex number expression list or matrix Appendix A Tables and Reference Information 151 Function or Instruction Arguments Power of ten 104 value Result Returns 10 raised to the value power value can be a real or complex number or expression Key or Keys Menu or Screen iItem 2nd 10 Power of ten 104 is Returns a list of 10 raised 2nd jo to the list power Square root y value Re
158. ust be used as the first 2nd CATALOG line of an assembly AsmPrgm language program augment matrixA Returns a matrix which is 2nd MATRIX matrixB matrixB appended to MATH matrixA as new columns 7 augment augment is 4 istB Returns a list which is 2nd LIST listB concatenated to the OPS end of listA 9 augment AxesOff Turns off the graph axes t FORMAT AxesOff AxesOn Turns on the graph axes t FORMAT AxesOn a bi Sets the mode to t rectangular complex a bi number mode a bi 112 Appendix A Tables and Reference Information Function or Instruction Key or Keys Menu Arguments Result or Screen Item bal npmt roundvalue Computes the balance at 1 Finance npmt for an amortization CALC schedule using stored 9 bal values for PV 1 and PMT and rounds the computation to roundvalue binomedf numtrials p Computes a cumulative DISTR Lx probability at x for the DISTR discrete binomial A binomcdf distribution with the specified numtrials and probability p of success on each trial binompdf numtrials p Computes a probability at DISTR Lx x for the discrete binomial DISTR distribution with the 0 binompdf specified numtrials and probability p of success on each trial y2edf owerbound Computes the x7 DISTR upperbound df distribution probability DISTR between lowerbound and 7 2cdf upperbound for the specified degrees of freedom df x2pdf x d Computes
159. ust use TI Connect or TI GRAPH LINK software and the USB computer cable or TI Connectivity Cable USB to install the application on your TI 84 Plus Instructions for Windows 1 Connect the USB computer cable between your computer and TI 84 Plus Make sure the TI 84 Plus is on the home screen 2 Using Windows or NT Explorer locate the application file you want to transfer to the connected device 44 Getting Started Reduce the size of the Explorer window so you can see the TI Connect desktop icon Click the application file you want to transfer Drag the application file out of Explorer and drop it on the TI Connect desktop icon Instructions for Macintosh 1 Connect the TI Connectivity Cable USB for Macintosh Windows between your computer and TI 84 Plus and make sure the TI 84 Plus is on the home screen Launch the TI GRAPH LINK 2 software and establish a connection to your TI 84 Plus Drag the application to the TI 84 Plus window in TI GRAPH LINK Follow any on screen instructions that are given Running applications Once you have installed an application on your TI 84 Plus you must start the application to use its features Example Start the Catalog Help CtlgHelp app on the TI 84 Plus Press Result APPS Nance CBL CBR Ct1aHele Organize Periodic Prob Sim r PuzzPack mu GE as TI 83Plus Catalog Hele io Texas Instruments 2000 Getting Started 45
160. vities 63 Pt On X Y Draw point End End of For group StorePic 6 Store picture After you execute the program above you can recall and display the picture with the instruction RecallPic 6 Graphing Cobweb Attractors Problem Using Web format you can identify points with attracting and repelling behavior in sequence graphing Procedure 1 Press MODE Select Seq and the default mode settings Press FORMAT Select Web format and the default format settings 2 Press Y Clear all functions and turn off all stat plots Enter the sequence that corresponds to the expression Y K X 1 X u n Ku n 1 1 u n 1 u nMin 01 Press quit to return to the home screen and then store 2 9 to K 4 Press WINDOW Set the window variables nMin 0 Xmin 0 Ymin 26 nMax 10 Xmax 1 Ymax 1 1 PlotStart 1 Xscl 1 Yscl 1 PlotStep 1 5 Press to display the graph and then press gt to trace the cobweb This is a cobweb with one attractor 64 Activities uzkudun H7BS78 Y 6687857H 6 Change K to 3 44 and trace the graph to show a cobweb with two attractors 7 Change K to 3 54 and trace the graph to show a cobweb with four attractors u kuin iii uin i 126692 Y HB45E06 Using a Program to Guess the Coefficients Setting Up the Program This program graphs the function A sin BX with random integer coefficients between 1 and 10 Try to guess the coefficients and graph your guess as C sin DX
161. vy TEXAS INSTRUMENTS TI 84 Plus TI 84 Plus Silver Edition 2004 Texas Instruments Incorporated Windows and Macintosh are trademarks of their respective owners Important Information Texas Instruments makes no warranty either express or implied including but not limited to any implied warranties of merchantability and fitness for a particular purpose regarding any programs or book materials and makes such materials available solely on an as is basis In no event shall Texas Instruments be liable to anyone for special collateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials and the sole and exclusive liability of Texas Instruments regardless of the form of action shall not exceed the purchase price of this product Moreover Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party USA FCC Information Concerning Radio Frequency Interference This equipment has been tested and found to comply with the limits for a Class B digital device pursuant to Part 15 of the FCC rules These limits are designed to provide reasonable protection against harmful interference in a residential installation This equipment generates uses and can radiate radio frequency energy and if not installed and used in accordance with the instructions may cause harmful interference with radio communications However
162. which ones were collected together you can simply recall the group Grouping also saves space on your graphing handheld by copying variables from RAM to Flash memory Example Group lists L1 L2 and L3 and name them GROUPA Press Result ven Aer Hamt Del Clear Entries ClrAllLists Archive UnArchive Reset GrOUF UMGROUP reate Hew ENTER Caution You are in alpha mode G R O U P A ENTER 40 Getting Started Press Result ENTER ENTER ENTER ENTER Ungrouping To use variables that have been grouped you must ungroup Example Ungroup GROUPA Press Result 2nd MEM Bitter Hamt De Clear Entries ClrAllLists Archive UnArchive Reset T GrOUF Getting Started 41 Press Result 8 UMGROUP reate Hew gt GEOUP aca IH GRO ENTER Fenane Qverurite Si Qverurite All 4 0mit 3 to overwrite all three lists Error messages Occasionally when you enter a function or instruction or attempt to display a graph the TI 84 Plus will return an error message For more details see Appendix B 42 Getting Started Example Enter the least common multiple function lem followed by only one number Press Result BaH IEM 270 ENTER
163. z confidence TESTS interval B 2 PropZint 1 PropZTest p0 x 7 Computes a one t STAT alternative drawflag proportion z test TESTS alternative 1 is lt alternative 0 is alternative 1 is gt drawflag 1 draws results drawflag 0 calculates results 5 1 PropZTest 2 PropZTest x 7 x2 n2 alternative drawflag Computes a two proportion z test alternative 1 is lt alternative 0 is alternative 1 is gt drawflag 1 draws results drawflag 0 calculates results t TESTS 6 2 PropZTest Pt Change x y Reverses a point at x y 2nd DRAW POINTS 3 Pt Change Pt Off x y mark Erases a point at x y nd DRAW using mark POINTS 2 Pt Off Pt On x y mark Draws a point at x y nd DRAW using mark POINTS 1 Pt On Appendix A Tables and Reference Information 133 Function or Instruction Key or Keys Menu Arguments Result or Screen Item PwrReg X istname Fits a power regression STAT Ylistname freqlist model to Xlistname and CALC regequ Ylisthame with frequency A PwrReg freqlist and stores the regression equation to regequ Pxl Change vow column Reverses pixel at nd DRAW row column 0 lt row lt 62 POINTS and 0 lt column lt 94 6 PxI Change Pxl Off row column Erases pixel at 2nd DRAW row column O lt row lt 62 POINTS and 0 lt column lt 94 5 Pxl Off Pxl On row column Draws pixel at 2nd DRAW row

Texas Instruments TI-84 Plus Calculator User Manual

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