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: 28


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 can graph the function. A few pairs: $f(-2)=2^{-\mid{-2}\mid}=2^{-2}=\frac{1}{4}$ $f(−1)=2^{-\mid{-1}\mid}=2^{-1}=\frac{1}{2}$ $f(0)=2^{-\mid 0\mid}=1$ $f(1)=2^{-\mid{1}\mid}=2^{-1}=\frac{1}{2}$ $f(2)=2^{-\mid{2}\mid}=2^{-2}=\frac{1}{4}$ As we can see, this function is symmetric with respect to the y-axis.
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