   Chapter 4.1, Problem 2E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Suppose f is a continuous function defined on a closed interval [a, b].(a) What theorem guarantees the existence of an absolute maximum value and an absolute minimum value for f?(b) What steps would you take to find those maximum and minimum values?

(a)

To determine

To find: The theorem guarantees the existence of an absolute maximum value and an absolute minimum value for f if f is a continuous function on [a,b] .

Explanation

Reason:

Extreme value theorem says that, “If f is a continuous function on a closed interval

(b)

To determine

To explain: The steps to find the maximum and the minimum values of the continuous function.

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