College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 409: 26


See the picture below.

Work Step by Step

By calculating a few pairs, plotting each ordered pair, and connecting the dots on the graph with a smooth curve, we graph the function. By the laws of exponents: $a^{-x}= (\frac{1}{a})^{x}$. We transform the function to $f(x)=(\frac{1}{10})^{x}$ because it's easier to calculate with this form. A few pairs: $f(-1)=(\frac{1}{10})^{-1}=10$ $f(0)=(\frac{1}{10})^0=1$ $f(1)=(\frac{1}{10})^1=\frac{1}{10}$ $f(2)=(\frac{1}{10})^{2}=\frac{1}{100}$
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