Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - Chapter Review - Review Exercises - Page 113: 2

Answer

False.

Work Step by Step

A rational function is defined by $f(x)=\displaystyle \frac{p(x)}{q(x)}$, where $p(x)$ and $q(x)$ are polynomial functions and $q(x)\neq 0$. An exponential function with base a is defined as $f(x)=a^{x}$, where $a>0$ and $a\neq 1$ $....................................$ For example, $f(x)=\displaystyle \frac{x}{x-1}$ is a rational function. It, however, is not an exponential function (can not be written in the form $f(x)=a^{x}$). The statement is false.
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