Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 4 - Review - True-False Quiz - Page 358: 3



Work Step by Step

An interval such as $(a,b)$ does not include the endpoints. So if $f$ is a strictly increasing or decreasing function, but not completely horizontal, then no absolute minimum or maximum can be attained. If $f$ has a constant slope, it will be a horizontal line and there will be no absolute maximum or minimum value. Hence, the given statement is false.
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