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: 78

Answer

Domain : $[-2,0]$ and Range: $[-\dfrac{\pi}{2}, \dfrac{\pi}{2}]$

Work Step by Step

A phase shift of $-1$ results in shifting the domain of the inverse sine curve left by $1$. The range remains the same. Therefore, we have the Domain and Range of the function as follows: Domain : $[-2,0]$ and Range: $[-\dfrac{\pi}{2}, \dfrac{\pi}{2}]$
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