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 - 7-6 Exponential Functions - Practice and Problem-Solving Exercises - Page 457: 37


The y-values decrease as the x-values increase.

Work Step by Step

You are given $g(x)=$ $100 {\times}0.3^{x}$.Plug in the values $-2,-1,0,1,2,3$ for the X-variable: $g(-2)=$ $100 {\times}0.3^{-2}={\dfrac{100}{.09}}=1111.1$ $g(-1)=$ $100 {\times}0.3^{-1}={\dfrac{100}{.3}}=333.3$ $g(0)=$ $100 {\times}0.3^{0}=100$ $g(1)=$ $100 {\times}0.3^{1}=30$ $g(2)=$ $100 {\times}0.3^{2}=9$ $g(3)=$ $100 {\times}0.3^{3}=2.7$
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