Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.3 - Getting Information from the Graph of a Function - 2.3 Exercises - Page 180: 50

Answer

a) There are two local maximum values which are $-7.87$ and $13.02$ at $x=-1.93$ and $x=1.04$, respectively, and two local minimum values which are $-13.02$ and $7.87$ at $x=-1.04$ and $x=1.93$, respectively. b) The intervals when the function is increasing are (-∞, -1.93), (-1.04, 1.04), and (1.93, ∞). The intervals when the function is decreasing are (-1.93, -1.04) and (1.04, 1.93)

Work Step by Step

a) The local maximum values are all those that are at the top of crests that forms in functions (if any). While the local minimum values are all those that are at the bottom of where U-shaped parts are formed (if any). b) A function decreases when the slope is negative. While a function increases when the slope is positive.
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