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

Answer

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]$
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