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: 44

Answer

a) There is one local minimum value which is $-1$ at $x=0$, and two local maximum local values which are $2$ and $1$ at $x=-2$ and $x=2$, respectively. b) The intervals when the function is increasing are (-∞, -2) and (0,2). The intervals when the function is decreasing are (-2,0) and (2, ∞)

Work Step by Step

a) The maximum local values are all that are at the top of crests that forms in functions (if any). While the minimum local values are all 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.