Answer
An absolute minimum at $x=b$, an absolute maximum at $x=c$
Work Step by Step
An absolute minimum at $x=b$, an absolute maximum at $x=c$. Theorem 1 guarantees the existence of such extreme values because $f$ is continuous on $[a, b]$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
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 190: 2
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