Functions Modeling Change: A Preparation for Calculus, 5th Edition

by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.

Published by Wiley

ISBN 10: 1118583191

ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.2 Domain and Range - Exercises and Problems for Section 2.2 - Skill Refresher - Page 82: S10

Answer

$-6 \leq x \leq 6$.

Work Step by Step

We have $36-x^2 \geq 0$ when $x^2\leq 36$, so $-6 \leq x \leq 6$. This because both $36-(-6)^2= 0$ and $36-(6)^2= 0$ satisfy the inequality.

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