Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.1 - Extreme Values of Functions - Exercises 4.1 - Page 191: 10

Answer

Absolute maximum at $x=1.$ Absolute minimum at $x=0.$

Work Step by Step

The graph of $f$ contains the points $(x,f(x)).$ The point ($1,2$) has a higher y-coordinate than any other point on the graph. $f$ has an absolute maximum at $x=1.$ The point ($0,-1$) has a lower y-coordinate than any other point on the graph. $f$ has an absolute minimum at $x=0.$
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