## Calculus 10th Edition

Published by Brooks Cole

# Chapter 3 - Applications of Differentiation - 3.1 Exercises: 38

#### Answer

a) Absolute maximum: $4$ and absolute minimum: $1$. b) Absolute maximum: $4$ and no absolute minimum. c)No absolute maximum and absolute minimum: $1$. d) No absolute maximum and no absolute minimum.

#### Work Step by Step

$f'(x)=-1\to f'(x)$ is never equal to $0$ and therefore the absolute extrema should occur at the interval's endpoints. $f(1)=4; f(4)=1.$ a) Absolute maximum: $4$ and absolute minimum: $1$. b) Absolute maximum: $4$ and no absolute minimum. c)No absolute maximum and absolute minimum: $1$. d) No absolute maximum and no absolute minimum.

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