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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 4.8, Problem 39E

To determine

**To sketch:** The graph of the function

Expert Solution

**Given data:**

Refer to the Figure in the textbook for the given function

The function

**Formula used:**

The antiderivative function for the function

Here, *C* is the constant.

**Calculation:**

The function

From the given figure in the textbook, the function

Rewrite the function

Use the antiderivative formula and find the antiderivative function

Rewrite the function as follows.

As
*x* in equation (3),

Rewrite the expression as follows.

Substitute –1 for

Substitute –1 for *C* in equation (3),

From equation (4), the at

Rewrite the function in equation (2) as follows.

From equation (5), as
*x* in equation (6),

Rewrite the expression as follows.

Substitute 1 for

Substitute 0 for *D* in equation (6),

From equation (7), the at

Rewrite the function in equation (2) as follows.

From equation (8), as
*x* in equation (9),

Rewrite the expression as follows.

Substitute 2 for

Substitute 4 for *E* in equation (9),

As the function is continuous on

Sketch the graph of the function

Thus, the graph of the function