Trigonometry (10th Edition)

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

Appendix C - Functions - Page 436: 66a

Answer

$(3,\infty)$

Work Step by Step

The function increases in an interval when, moving from left to right, the y-values continue to get larger for x-values in that interval. For the graph in the question, the y-values increase for all values of $x\gt3$. 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 $\infty$ will be used which is also always supported by a parenthesis. Therefore, the function is increasing in the interval $(3,\infty)$.
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