Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.2 Mathematical Models: A Catalog of Essential Functions - 1.2 Exercises - Page 33: 2

Answer

f(x)=$a^{x}$ where a $\ne$ 1 is a positive constant. Thus, the function f(x)=$\pi^{x}$ is an exponential function. In this case a= $\pi$.

Work Step by Step

f(x)=a$\times$$x^{n}$ where a$\ne$0 and n is any real number is a power function. Thus f(x)=$x^{\pi}$ is a power function where a=1 and n=$\pi$
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