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: 35

Answer

See the picture below.
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Work Step by Step

The parent function is $2^x$ (with red) the given function is $2^{-x}$ (with blue). For every corresponding x-value the following equation is true: $f(-x)=g(x)$ this means that the graph is reflected across the y-axis. Here is the table of values of the given function: $f(-2)=2^{-(-2)}=2^{2}=4$ $f(-1)=2^{-(-1)}=2^1=2$ $f(0)=2^{0}=1$ $f(1)=2^{-1}=\frac{1}{2}$
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