Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - Chapter Test - Page 479: 15


f(-1)=$\frac{1}{8}$, f(2)=8, f(3)=32

Work Step by Step

You have f(x)=$\frac{1}{2}$ $\times$ $4^{x}$.Plug in x=-1,2,3 to solve for Y. x=-1: f(-1)=$\frac{1}{2}$ $\times$ $4^{-1}$ f(-1)=$\frac{1}{2}$ $\times$ $\frac{1}{4}$ f(-1)=$\frac{1}{8}$ x=2 f(2)=$\frac{1}{2}$ $\times$ $4^{2}$ f(2)=$\frac{1}{2}$ $\times$ $\frac{16}{1}$ f(2)=8 x=3 f(3)=$\frac{1}{2}$ $\times$ $4^{3}$ f(3)=$\frac{1}{2}$ $\times$ $\frac{64}{1}$ f(3)=32
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