Download
Share
Print this page
Texas Instruments TI-82 Manual
  1. Manuals
  2. Brands
  3. Texas Instruments Manuals
  4. Calculator
  5. TI-82 STATS
  6. Manual

Texas Instruments TI-82 Manual

Hide thumbs Also See for TI-82:

Advertisement

Quick Links

Download this manual
C H A P T E R
2
T
I
TI-82
EXAS
NSTRUMENTS
2.1 Getting Started with the TI-82
2.1.1 Basics: Press the ON key to begin using your TI-82 calculator. If you need to adjust the display contrast, first
press 2nd, then press and hold ▲ (the up arrow key) to increase the contrast or ▼ (the down arrow key) to decrease
the contrast. As you press and hold ▲ or ▼ , an integer between 0 (lightest) and 9 (darkest) appears in the upper
right corner of the display. When you have finished with the calculator, turn it off to conserve battery power by
pressing 2nd and then OFF.
Check the TI-82's settings by pressing MODE. If necessary, use the arrow keys to move the blinking cursor to a
setting you want to change. Press ENTER to select a new setting. To start with, select the options along the left side
of the MODE menu as illustrated in Figure 2.1: normal display, floating decimals, radian measure, function graphs,
connected lines, sequential plotting, and full screen display. Details on alternative options will be given later in this
guide. For now, leave the MODE menu by pressing CLEAR.
Figure 2.1: MODE menu
Figure 2.2: Home screen
2.1.2 Editing: One advantage of the TI-82 is that up to 8 lines are visible at one time, so you can see a long
calculation. For example, type this sum (see Figure 2.2):
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20
Then press ENTER to see the answer, too.
Often we do not notice a mistake until we see how unreasonable an answer is. The TI-82 permits you to redisplay an
entire calculation, edit it easily, then execute the corrected calculation.
Suppose you had typed 12 + 34 + 56 as in Figure 2.2 but had not yet pressed ENTER, when you realize that 34
should have been 74. Simply press ◄ (the left arrow key) as many times as necessary to move the blinking cursor
left to 3, then type 7 to write over it. On the other hand, if 34 should have been 384, move the cursor back to 4, press
2nd INS (the cursor changes to a blinking underline) and then type 8 (inserts at the cursor position and other
characters are pushed to the right). If the 34 should have been 3 only, move the cursor to 4 and press DEL to delete
it.
Copyright © Houghton Mifflin Company. All rights reserved.

Advertisement

loading
Need help?

Need help?

Do you have a question about the TI-82 and is the answer not in the manual?

Questions and answers

Subscribe to Our Youtube Channel

Related Manuals for Texas Instruments TI-82

Summary of Contents for Texas Instruments TI-82

  • Page 1 Figure 2.1: MODE menu Figure 2.2: Home screen 2.1.2 Editing: One advantage of the TI-82 is that up to 8 lines are visible at one time, so you can see a long calculation. For example, type this sum (see Figure 2.2): 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 Then press ENTER to see the answer, too.
  • Page 2 Even if you had pressed ENTER, you may still edit the previous expression. Press 2nd and then ENTRY to recall the last expression that was entered. Now you can change it. In fact, the TI-82 retains many prior entries in a “last entry”...
  • Page 3 UIDE Note that the TI-82 distinguishes between subtraction and the negative sign. If you wish to enter a negative number, it is necessary to use the (-) key. For example, you would evaluate –5 – (4 · – 3) by pressing (-) 5 – ( 4 × (-) 3) ENTER to get 7.
  • Page 4 A significant difference between the TI-82 and many scientific calculators is that the TI-82 requires the argument of a function after the function, as you would see a formula written in your textbook. For example, on the TI-82 you calculate 16 by pressing the keys 2nd 16 in that order.
  • Page 5 January sales were $2230 and your February sales were $1865, what was your income during those months? Here’s how to use your TI-82 to perform this task. Press the Y= key at the top of the calculator to display the function editing screen (Figure 2.6).
  • Page 6 2230 to 1865. You may also have the TI-82 make a table of values for the function. Press 2nd TblSet to set up the table (Figure 2.9). Move the blinking cursor onto Ask beside Indpnt:, then press ENTER. This configuration permits you to input values for x one at a time.
  • Page 7 + 4x extends infinitely far left and right and also infinitely far up and down, the TI-82 can display only a piece of the actual graph. This displayed rectangular part is called a viewing rectangle. You can easily change the viewing rectangle to enhance your investigation of a graph.
  • Page 8 2.2.3 Piecewise-Defined Functions: The greatest integer function, written [[x]], gives the greatest integer less than or equal to a number x. On the TI-82, the greatest integer function is called Int and is located under the NUM sub- menu of the MATH menu (see Figure 2.5). So calculate [[6.78]] = 6 by pressing MATH ► 4 6.78 ENTER.
  • Page 9 You can change from Connected line to Dot graph on the TI-82 by opening the MODE menu. Move the cursor down to the fifth line; select whichever graph type you require;...
  • Page 10 Figure 2.25. The method works because the dimensions of the TI-82’s display are such that the ratio of vertical to horizontal is approximately The two semicircles in Figure 2.25 do not meet because of an idiosyncrasy in the way the TI-82 plots a graph. −...
  • Page 11 : TI-82 RAPHING ECHNOLOGY UIDE Figure 2.27: Trace on y = –x + 4x Press TRACE to enable the left ◄ and right ► arrow keys to move the cursor along the function. The cursor is no longer free-moving, but is now constrained to the function. The coordinates that are displayed belong to points on the function’s graph, so the y-coordinate is the calculated value of the function at the corresponding x-coordinate.
  • Page 12 Technology Tip: By the way, trace along the graph of y = –.25x and press and hold either ◄ or ►. Eventually you will reach the left or right edge of the window. Keep pressing the arrow key and the TI-82 will allow you to continue the trace by panning the viewing rectangle.
  • Page 13 Figure 2.39: After a zoom in As you see in the ZOOM menu (Figure 2.34), the TI-82 can Zoom In (press ZOOM 2) or Zoom Out (press ZOOM 3). Zoom out to see a larger view of the graph, centered at the cursor position. You can change the horizontal and vertical scale of the magnification by pressing ZOOM ►...
  • Page 14 Figure 2.41: ZOOM MEMORY SetFactors... Technology Tip: The TI-82 remembers the window it displayed before a zoom. So if you should zoom in too much and lose the curve, press ZOOM ► 1 to go back to the window before. If you want to execute a series of zooms but then return to a particular window, press ZOOM ►...
  • Page 15 Next move the cursor along the graph between the two bounds and as close to the minimum/maximum as you can; this serves as a guess for the TI-82 to start its search. Good choices for the lower bound, upper bound, and guess can help the calculator work more efficiently and quickly.
  • Page 16 – 36x + 17 in a window large enough to exhibit all its x-intercepts, corresponding to all its roots. Then use trace and zoom, or the TI-82’s root finder, to locate each one. In fact, this equation has just one solution, approximately x = –1.414.
  • Page 17 − ≥ − Figure 2.50: Solving The TI-82 is capable of shading the region above or below a graph or between two graphs. For example, to graph y ≥ x –1, first graph the function y = x –1 as Y .
  • Page 18 ≥ − . The function whose graph forms the lower Now use shading to solve the previous inequality, boundary is named first in the SHADE command (see Figure 2.53). To enter this in your TI-82, press these keys: 2nd DRAW 7 –...

  • Page 19: Scatter Plots

    UIDE The first line of keystrokes sets the TI-82 in degree mode and calculates the sine of 45 degrees. While the calculator is still in degree mode, the second line of keystrokes calculates the sine of π degrees, 3.1415°. The third line changes to radian mode just before calculating the sine of π...
  • Page 20 Figure 2.56: Entering data points The TI-82 holds data in up to six lists. Before entering this new data, press STAT 4 2nd L1 , 2nd L2 , 2nd L3 , 2nd L4 , 2nd L5 , 2nd L6 ENTER to clear all data lists.
  • Page 21 Figure 2.60: Linear regression line The TI-82 calculates the slope and y-intercept for the line that best fits all the data. After the data points have been entered, press STAT ► 5 ENTER to calculate a linear regression model. As you see in Figure 2.59, the TI-82 names the slope a and calls the y-intercept b.
  • Page 22   by [A], press MATRX 3 × MATRX 1 ENTER. If you tried to multiply [A] by [C], your TI-82 would signal an error because the dimensions of the two matrices do not permit multiplication this way. The transpose of a matrix [A] is another matrix with the rows and columns interchanged. The symbol for the transpose of [A] is [A] .
  • Page 23 Technology Tip: It is important to remember that your TI-82 does not store a matrix obtained as the result of any row operations. So when you need to perform several row operations in succession, it is a good idea to store the result of each one in a temporary place.
  • Page 24   −   as [B]. Then press MATRX 1 x × MATRX If necessary, enter it again as [A] in your TI-82. Enter the matrix     2 ENTER to calculate the solution matrix (Figure 2.69). The solutions are still x = 1, y = –1, and z = 2.
  • Page 25 Continue to use each answer as n in the next calculation. Here are keystrokes to accomplish this iteration on the TI-82 calculator (see the results in Figure 2.70). Notice that when you use ANS in place of n in a formula, it is sufficient to press ENTER to continue an iteration.
  • Page 26 2.8 Parametric and Polar Graphs 2.8.1 Graphing Parametric Equations: The TI-82 plots up to six pairs of parametric equations as easily as it plots functions. Just use the MODE menu (Figure 2.1), go to the fourth line from the top, and change the setting to Par.
  • Page 27 2.8.3 Graphing Polar Equations: The TI-82 graphs a polar function in the form r = f (θ). In the fourth line of the MODE menu, select Pol for polar graphs. You may now graph up to six different polar functions at a time.
  • Page 28 . Press 1 ÷ 40 MATH ◄ 3 6 ENTER to calculate your chances, but don’t be disappointed. 2.10 Programming 2.10.1 Entering a Program: The TI-82 is a programmable calculator that can store sequences of commands for later replay. Here’s an example to show you how to enter a useful program that solves quadratic equations by the quadratic formula.
  • Page 29 In the program, each line begins with a colon : supplied automatically by the calculator. Any command you could enter directly in the TI-82’s home screen can be entered as a line in a program. There are also special programming commands.
  • Page 30 : TI-82 RAPHING ECHNOLOGY UIDE : (-B+ D)/(2A) → M ((-) ALPHA B + 2nd ALPHA D) ÷ ( 2 ALPHA A ) STO➧ ALPHA M ENTER calculates one root and stores it as M : Disp M PRGM ► 3 ALPHA M ENTER...
  • Page 31 = 0. Input a value, then press ENTER to continue the program. If you need to interrupt a program during execution, press ON. The instruction manual for your TI-82 gives detailed information about programming. Refer to it to learn more about programming and how to use other features of your calculator.
  • Page 32 ∆x). The same derivative is also approximated in Figure 2.80 using ∆x = 0.0001. For most purposes, ∆x = 0.001 gives a very good approximation to the derivative and is the TI-82’s default. So if you do use ∆x = 0.001, just enter nDeriv(expression, variable, value).
  • Page 33 . Press ENTER repeatedly until two successive approximations differ by less than some predetermined X,T,θ value, say 0.0001. Note that each time you press ENTER, the TI-82 will use its current value of x, and that value is changing as you continue the iteration.
  • Page 34 (see Figure 2.87) and press ENTER. The region under the graph between the lower limit and the upper limit is shaded and the area is displayed as in Figure 2.88. The TI-82 uses fnInt( with the default tolerance of 10 this calculation.
  • Page 35 : TI-82 RAPHING ECHNOLOGY UIDE ∫ Figure 2.87: Setting the upper limit Figure 2.88: f(x)dx Technology Tip: When approximating the area under f (x) = cos x between x = 0 and x = 1, you must trace along the curve to exactly where x = 0 and x = 1. Now to trace along the curve to x = a, the viewing rectangle must be chosen so that the function is evaluated at x = a.