Texas Instruments TI-82 Getting Started page 18

Figure I.51: DrawInv
I.2.10 Tangent Lines: Once again, graph
TI-82 can draw the tangent line to a graph of a function at a specified point.
While on the home screen, press 2nd DRAW 5 [Tangent(] 2nd Y-
These keystrokes instruct the TI-82 to draw the tangent line to the graph of
original function and the tangent line to the graph at
To clear the tangent line, press 2nd DRAW 1.
Figure I.53: Tangent
I.3 Solving Equations and Inequalities
I.3.1 Intercepts and Intersections: Tracing and zooming are also used to locate an
where a curve crosses the
Figure I.55). After tracing over to the
Continue this process until you have located all three intercepts with as much accuracy as you need. The
three x- intercepts of y
10
−10
−10
Figure I.55: Graph of
I-18
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3
y x
Figure I.54: Graph of
x- axis. For example, the graph of
x- intercept point that is farthest to the left, zoom in (Figure I.56).
3
x 8x are approximately
10
3
y x 8x
−10
Figure I.52: Graph of y
1 in the standard viewing window (see Figure I.49). The
1 1 , 1 ) ENTER (see Figure I.53).
VARS
x 1 will be displayed (see Figure I.54).
−10
y
3
y x 8x crosses the
2.828, 0, and 2.828.
−5.27
Figure I.56: Near an
10
10
−10
3
x 1 and its inverse function
Y at x 1. The graph of the
1
10
10
−10
3
x 1 and tangent line at
x- intercept of a graph,
x- axis three times (see
2.18
−2.82
3
x- intercept of y x
TI-82 Graphics Calculator
x 1
−0.27
8x