Calculus: Early Transcendentals 8th Edition

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

Chapter 4 - Section 4.1 - Maximum and Minimum Values - 4.1 Exercises: 3

Answer

Absolute maximum at $s$, absolute minimum at $r$, local maximum at $c$, local minima at $b$ and $r$, neither max nor min at $a$ and $d$.

Work Step by Step

$s$ and $r$ are the extrema of the function because they are the highest and lowest value of the function, respectively. $c$ is a local maximum because it is the highest point in its neighborhood, and since $b $ and $r$ are the lowest in theirs, they are local minima. $a$ and $d$ fit none of these descriptions, so they are neither max nor min.
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