Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.3 One-to-One Functions; Inverse Functions - 5.3 Assess Your Understanding - Page 282: 95

Answer

(a) $16$, $(4,16)$. (b) $-4$, $(-4,\frac{1}{16})$.

Work Step by Step

(a) Given $f(x)=2^x$, we have $f(4)=2^4=16$ which gives a point $(4,16)$. (b) For $f(x)=\frac{1}{16}=2^{-4}$, we have $2^x=2^{-4}$, which gives $x=-4$ and a point $(-4,\frac{1}{16})$.
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