Trigonometry (10th Edition)

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

Appendix C - Functions - Page 436: 65c

Answer

$(-2,3)$

Work Step by Step

The function remains constant in an interval when, moving from left to right, the y-values continue to remain constant for all x-values in that interval. For the graph in the question, the y-values remain constant for all values of $x$ between $-2$ and $3$. Since the ends of the interval are represented by open circles, both $-2$ and $3$ are not included in the interval. As a result, parentheses will be used on both sides. Therefore, the function remains constant in the interval $(-2,3)$.
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