Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - 4.3 Graphs of Exponential Functions - Exercises and Problems for Section 4.3 - Exercises and Problems - Page 161: 7

Answer

$h(x)$ is the top function and $g(x)$ is the middle function and $f(x)$ is the bottom function.

Work Step by Step

Given $f(x)=(1.1)^x, g(x)=(1.2)^x$, and $h(x)=(1.25)^x$. We see that the growth factor of $f(x)$ is the smallest of the three functions and that the growth factor of $h(x)$ is the largest of the three functions. Hence, $h(x)$ will grow faster than both $f(x)$ and $g(x)$ . This suggests that $h(x)$ is the top function and $g(x)$ is the middle function and $f(x)$ is the bottom function.
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