   Chapter 4.3, Problem 33E ### 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 where f(x) > 0 for all x,f(0) = 4, f′(x) > 0 if x < 0 or x > 2, f′(x) < 0if 0 < x < 2, f″(−l) = f″(l) = 0, f″(x) > 0 ifx < −1 or x > 1, f″(x) < 0 if −1 < x < 1.(a) Can f have an absolute maximum? If so, sketch a possible graph of f. If not, explain why.(b) Can f have an absolute minimum? If so, sketch a possible graph of f. If not, explain why.(c) Sketch a possible graph for f that does not achieve an absolute minimum.

(a)

To determine

To sketch: The graph of f if it has absolute maximum.

Explanation

Given:

The continuous function f takes positive values for all x.

The values are f(0)=4 , f(x)>0 if x<0 or x>2 , f(x)<0 if 0<x<2 , f(1)=f(1)=0 , f(x)>0 if x<1 or x>1 and f(x)<0 if 1<x<1

(b)

To determine

To sketch: The graph of f if it has absolute minimum.

(c)

To determine

To sketch: The graph of f that does not have an absolute minimum.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 