   Chapter 4.9, Problem 52E ### 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

# The graph of a function f is shown. Which graph is an antiderivative of f and why? To determine

To identify: The graph of antiderivative for the function f in the given graph.

Explanation

Given Data:

Refer to the Figure in the textbook for the given graph.

The conditions for a particular graph x to be an antiderivative for the function f are written as follows.

• The graph x increases when the function f is positive and
• The graph x decreases when the function f is negative.

Observation:

From the given graph in the textbook, when the function f is positive (for small values of x ), the graph b is decreasing and the graph a is increasing

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 