Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - Review - True-False Quiz - Page 285: 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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