Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Review - Exercises - Page 70: 6

Answer

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

Work Step by Step

Domain: $16-x^4\geq0,$ $x^4\leq16,$ $-2\leq x\leq2$ Range: minimum value when $16-x^4=0, g(\pm2)=0$ maximum value when $16-x^4=16, g(0)=4$ $\therefore 0\leq g(x)\leq4$
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