Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 4 - Review Exercises - Page 184: 43

Answer

$[-2, 2]$

Work Step by Step

RECALL: The function $f(x) = a \cdot \sin{(bx+c)}$ has an amplitude of $|a|$, which means that the value of $f(x)$ range from $-|a|$ to $|a|$. The function $f(x)=2 \sin {(bx+c)}$ has an amplitude of $|2|=2$. Thus, the values of $f(x)$ range from $-2$ to $2$. The range of the given function is $[-2, 2]$.
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