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 Review - Page 477: 69

Answer

f(-2)=1/18 .F(0)=1/2.f(2)=9/2
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Work Step by Step

You have f(x)=$\frac{1}{2}$ $\times$ $3^{x}$.Plug in x=-2,0,2 to solve for Y: x=-2: f(-2)=$\frac{1}{2}$ $\times$ $3^{-2}$ f(-2)=$\frac{1}{2}$ $\times$ $\frac{1}{9}$ f(-2)=$\frac{1}{18}$ x=0: f(0)=$\frac{1}{2}$ $\times$ $3^{0}$ -any number raised to 0 always equals 1- f(0)=$\frac{1}{2}$ $\times$1 f(0)=$\frac{1}{2}$ x=2: f(2)=$\frac{1}{2}$ $\times$ $3^{2}$ f(2)=$\frac{1}{2}$ $\times$ 9 f(2)=$\frac{9}{2}$ You have f(-2)=$\frac{1}{18}$,f(0)=$\frac{1}{2}$,f(2)=$\frac{9}{2}$. Plot these points and connect them to make a graph.
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