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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.5, Problem 2E

(a)

To determine

**To find:** The graph of

Expert Solution

The graph of

**Graph:**

From Figure 1, it is clear that the graph of

(b)

To determine

**To find:** The possibility number of horizontal asymptotes in the graph.

Expert Solution

There are one or two horizontal asymptotes in the graph or no horizontal asymptote also possible.

**Graph:**

Generally, no horizontal asymptote for polynomial degree one or higher degree.

**Graph:**

Generally, one horizontal for exponential functions.

**Graph:**

Generally, two horizontal asymptotes for inverse tangent functions.

Therefore, horizontal asymptotes exists for

For the function

Thus, from graphs it is observed that there is one or two horizontal asymptote in the graph or no horizontal asymptote also possible.