(a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1, 0.2] × [0, 1, 0.2]. y = x y = x² y = x³ y = x² y = x³ (b) Describe, in complete sentences, the pattern you see in your results in part (a). On the basis of your results in part (a), draw (by hand) a sketch of what you think the graph of y = x 100 must look like in this interval. Then use a graphing utility to see how accurate your sketch was.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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(a) Graph each of the following functions on the
same screen, using the viewing rectangle
[0, 1, 0.2] × [0, 1, 0.2].
y = x y = x²
y = x³
y = x²
y = x³
(b) Describe, in complete sentences, the pattern you see
in your results in part (a). On the basis of your results
in part (a), draw (by hand) a sketch of what you think
the graph of y = x 100 must look like in this interval.
Then use a graphing utility to see how accurate your
sketch was.
Transcribed Image Text:(a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1, 0.2] × [0, 1, 0.2]. y = x y = x² y = x³ y = x² y = x³ (b) Describe, in complete sentences, the pattern you see in your results in part (a). On the basis of your results in part (a), draw (by hand) a sketch of what you think the graph of y = x 100 must look like in this interval. Then use a graphing utility to see how accurate your sketch was.
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