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: 4

Answer

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

Work Step by Step

$r$ and $a$ are the absolute extrema of the function because they are the highest and lowest value of the function, respectively. $b$ and $r$ are local maxima due to the fact they are the greatest value in their neighborhoods, and similarly $d$ is a local minima since it is the smallest value in it's neighborhood. $c$ and $s$ do not fall into any of these descriptions, so they are neither.
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