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 - Review Exercises and Problems for Chapter Four - Page 178: 41

Answer

See graph

Work Step by Step

The graphs of the functions $f(x)=\left(\frac{1}{2}\right)^x$ and $g(x)=1 / x$, are shown in the figure below. We see that the exponential function, $f(x)$, approaches zero faster than the rational function, $g(x)$.
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