Texas Instruments TI-82 Getting Started page 17

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Follow a similar procedure to find the relative maximum. Trace along the curve until the

coordinate is as

great as you can get it, so that you are as close as possible to the relative maximum, and zoom in. The relative

maximum point on the graph of

is approximately

1.15, 3.08 .

The TI-82 can automatically find the relative minimum and relative maximum points. Press 2nd CALC to

display the CALCULATE menu (Figure I.45). Choose 3 [minimum] to calculate the minimum value of the

function and 4 [maximum] for the maximum. You will be prompted to trace the cursor along the graph first

to a point left of the minimum/maximum (press ENTER to set this lower bound). Then move to a point right

of the minimum/maximum and set an upper bound and press ENTER. Note the two arrows at the top of the

display marking the lower and upper bounds (as in Figure I.47).

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. Press ENTER and the

coordinates of the relative minimum/maximum point will be displayed (see Figure I.48).

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Figure I.48: Relative minimum on

Note that if you have more than one graph on the screen, the upper right corner of the TI-82 screen will

display the numeral corresponding to the equation of the function in the Y= list whose minimum/maximum

is being calculated.

I.2.9 Inverse Functions: The TI-82 draws the inverse function of a one-to-one function. Graph

in the standard viewing window (see Figure I.49). Next, press 2nd DRAW to display the DRAW menu.

to move down and then choose 8 to draw the inverse function (see Figure I.50). Press 2nd Y-

Use

VARS

1 1 ENTER (see Figure I.51). These keystrokes instruct the TI-82 to draw the inverse function of

. The

original function and its inverse function will be displayed (see Figure I.52). Note that the calculator must

be in function mode in order to use DrawInv.

To clear the graph of the inverse function, press 2nd DRAW 1 [ClrDraw].

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Figure I.50: DRAW menu

Figure I.49: Graph of

Technology Guide

Graphing

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