Calculus: Early Transcendentals 8th Edition

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

Chapter 4 - Review - Concept Check - Page 358: 2

Answer

a) If $f$ is continuous on a closed interval $[a, b]$, then $f$ attains an absolute maximum value $f(c)$ and an absolute minimum value $f(d)$ at some numbers $c$ and $d$ in $[a, b]$. b) The closed interval method works to show the existence of extreme values along a closed interval, operating based off of the properties of a continuous function along a bounded interval as established by the Extreme Value Theorem.

Work Step by Step

Being able to state the theorem is a matter of memorization, and the application of it is also memorization.
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