Trigonometry (10th Edition)

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

Appendix C - Functions - Page 436: 66b

Answer

$(-\infty,-3)$

Work Step by Step

The function decreases in an interval when, moving from left to right, the y-values continue to get smaller for x-values in that interval. For the graph in the question, the y-values decrease for all values of $x$ between $-\infty$ and $-3$. Since $-3$ is not included in the interval as it is represented by an open circle, a parenthesis will be used on its side. On the other end, the symbol $-\infty$ is always supported by a parenthesis. Therefore, the function is decreasing in the interval $(-\infty,-3)$.
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