Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.5 - Inverse Functions and Logarithms - 1.5 Exercises: 11

Answer

No

Work Step by Step

$y=g(x)$ is the graph of $y=\sin x$ flipped about the x-axis and shifted upwards by 1 unit. Since $y=\sin x$ is periodic, it has the same y-value for different x-values. $\therefore y=g(x)$ also has the same y-value for different x-values and is not a function.
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