Answer
$f(x)=2^{-x}-3$
Work Step by Step
Based on the given graph and data points, it is possible to start from $y=2^x$, reflect across the y-axis, then shift 3 units down, to obtain the given graph. Thus we have $f(x)=2^{-x}-3$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.2 Exponential Functions - 4.2 Exercises - Page 432: 68
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