## Calculus 8th Edition

Published by Cengage

# Chapter 6 - Inverse Functions - 6.2 Exponential Functions and Their Derivatives - 6.2 Exercises - Page 418: 3

#### Answer

We observe from the above graph that: I. All of these functions represented by graphs approach to 0 as ${0 \to \infty}$. II. Passes through the points (0, 1). III. Rapidly increasing IV. As the base terms of these functions increases, the rate of increase of the function also increases for $x>0$. The graph is depicted as follows:

#### Work Step by Step

We observe from the above graph that: I. All of these functions represented by graphs approach to 0 as ${0 \to \infty}$. II. Passes through the points (0, 1). III. Rapidly increasing IV. As the base terms of these functions increases, the rate of increase of the function also increases for $x>0$. The graph is depicted as follows:

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