Precalculus (6th Edition) Blitzer

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

Chapter 4 - Cumulative Review Exercises - Page 648: 16

Answer

See graph and explanations.
1583722168

Work Step by Step

Step 1. The period of the function can be found as $p=\frac{\pi}{3}$ Step 2. Start from $y=tan(x)$ and use transformations: shrink horizontally by a factor of 3 and then stretch vertically by a factor of 2 to obtain the red curve. Step 3. Present the results over $(-\frac{\pi}{6},\frac{\pi}{2})$ for two periods as shown in the figure.
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