Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Review Exercises - Page 645: 83


See graph and explanations.

Work Step by Step

Step 1. We can identify the given function $y=4\ tan(2x)$ has a period of $p=\frac{\pi}{2}$ and vertical asymptotes at $x=\pm\frac{\pi}{4}, \pm\frac{3\pi}{4}...$ Step 2. We can use the following transformations to graph the function: start from $y=tan(x)$, shrink the curve horizontally by a factor of 2 and then stretch vertically by a factor of 2 to get the red curve shown in the figure.
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