Trigonometry (10th Edition)

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

Appendix C - Functions - Page 436: 62c

Answer

$[1,4]$

Work Step by Step

The function remains constant on 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 $1$ and $4$. Since both $1$ and $4$ are included in the interval, square brackets will be used on both sides. Therefore, the function is increasing on the interval $[1,4]$.
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