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: 17

Answer

The absolute maximum is $4$ and the absolute minimum is $1$ over the specified interval.

Work Step by Step

$f'(x)=-1$ Since $f'(x)$ is never $0,$and is defined for all x in the interval, the maximum and minimum have to occur at the endpoints of the interval: $f(-1)=4.$ $f(2)=1.$ The absolute maximum is $4$ and the absolute minimum is $1$ over the specified interval.
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