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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.5, Problem 10E

To determine

**To sketch:** The graph of *f* is even.

Expert Solution

Recall the definition of horizontal asymptote, “The line

Recall the definition that the line

The *f*. That is, as *x* approaches 3, the graph of the curve approaches negative infinity.

The *f* as *x* approaches infinity.

The graph must contain a point (0, 0) as

Here, the function *f* is even. That is,

Since *f* is even, write

Thus, the possible graph of

**Graph:**

Use the above information and obtain the graph of

Thus, the required graph of *f*.