Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.7 - Inverse Trigonometric Functions - Exercise Set - Page 627: 80

Answer

Domain : $[-\infty, \infty]$ and Range: $[-\dfrac{3 \pi}{2}, \dfrac{3 \pi}{2}]$

Work Step by Step

The multiplication the inverse tangent curve by $-3$ results in tripling the range of the curve. The domain remains the same. Therefore, we have the Domain and Range of the function as follows: Domain : $[-\infty, \infty]$ and Range: $[-\dfrac{3 \pi}{2}, \dfrac{3 \pi}{2}]$
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