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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

The graph of a function is shown in the figure. Make a rough sketch of an antiderivative F, given that F(0) = 1.

Chapter 4.9, Problem 53E, The graph of a function is shown in the figure. Make a rough sketch of an antiderivative F, given

To determine

To sketch: The antiderivative F for the given function f(x) .

Explanation

Given Data:

Refer to the Figure in the textbook for the given function f(x) .

F(0)=1

Analysis to sketch the antiderivative function:

As the value of antiderivative function F(0)=1 , the graph of antiderivative function F must start at the point (0,1) .

The antiderivative function F increases when the function f(x) is positive and it decreases when the function f(x) is negative.

The antiderivative function F has inflection points at the points of local maxima and local minima of the function f(x)

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