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: 25


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 $f(x)=4^{-x}=(\frac{1}{4})^{x}=$ because it's easier to calculate with this form. A few pairs: $f(-1)=\frac{1}{4}^{-1}=4$ $f(0)=\frac{1}{4}^0=1$ $f(1)=\frac{1}{4}^1=\frac{1}{4}$ $f(2)=\frac{1}{4}^{2}=\frac{1}{16}$
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