Trigonometry (10th Edition)

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

Appendix C - Functions - Page 436: 62b

Answer

$[4,\infty)$

Work Step by Step

The function decreases on 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 $x\geq4$. Since $4$ is included in the interval, a square bracket will be used on its side while on the other end, the symbol $\infty$ will be used which is always supported by a parenthesis. Therefore, the function is increasing on the interval $[4,\infty)$.
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