Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.3 Properties of Functions - 2.3 Assess Your Understanding - Page 79: 33

Answer

(a) local maximum at $x=0$; local maximum value is $3$ (b) local minimum at $x=-2, 2$; local minimum value is $0$

Work Step by Step

Based on the give graph: (a) The number at which f has a local maximum is $x=0$ and the local maximum value is $f(0)=3$ (b) The numbers at which f has a local minimum are $x=-2, 2$ and the local minimum values are $f(-2)=f(2)=0$
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