Precalculus (6th Edition)

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 434: 116

Answer

(a) $ 3$ (b) $ \frac{1}{3}$ (c) $9$ (d) $1$

Work Step by Step

Given $f(x)=a^x$ and $f(3)=27$, we have $a^3=27$ which gives $a=3$. (a) $f(1)=3^1=3$ (b) $f(-1)=3^{-1}=\frac{1}{3}$ (c) $f(2)=3^2=9$ (d) $f(0)=3^0=1$
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