Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.3 - Exponential Functions - Exercise Set: 67

Answer

D

Work Step by Step

We are given that $f(x)=4^{-x}$. In order to find out which graph matches this function, we can find the value of $f(1)$. $f(1)=4^{-1}=\frac{1}{4^{1}}=\frac{1}{4}$ Therefore, $f(x)$ matches Graph D, as it is the only graph that contains the ordered pair $(1,\frac{1}{4})$.
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