Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 3 - Applications of Differentiation - 3.1 Exercises: 20

Answer

The function has an absolute maximum equal to $5$ and an absolute minimum equal to $-4$ over the specified interval.

Work Step by Step

$h'(x)=-2x.$ $h'(x)$ is defined for all x in the interval. $h'(x)=0\to x=0;$ hence, $x=0$ is, along with the endpoints of the interval, a possible candidate for an absolute extrema. $h(-3)=-4.$ $h(0)=5.$ $h(1)=4.$ The function has an absolute maximum equal to $5$ and an absolute minimum equal to $-4$ over the specified interval.
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