Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - Exercises - Page 96: 6


Domain:$[-2,2]$ Range:$ [0,4]$

Work Step by Step

The square root restricts the domain to x for which the radicand is nonnegative, $16-x^{4} \geq 0$ $x^{4} \leq 16$ $|x| \leq \sqrt[4]{16}$ $|x| \leq 2$. Domain:$[-2,2]$ Range: $y \geq 0$ and y is maximum when $x^{4}$ is minimal (0), $y \leq \sqrt{16}$ $0 \leq y \leq 4$. Range:$ [0,4]$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.