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: 36

Answer

The y-values increase as the x-values increase

Work Step by Step

You are given $g(x)=$ $4 {\times}10^{x}$. Plug in the values $-2,-1,0,1,2,3$ for the X-variable: $g(-2)=$ $4 {\times}10^{-2}={\dfrac{1}{25}}$ $g(-1)=$ $4 {\times}10^{-1}={\dfrac{2}{5}}$ $g(0)=$ $4 {\times}10^{0}=4$ $g(1)=$ $4 {\times}10^{1}=40$ $g(2)=$ $4 {\times}10^{2}=400$ $g(3)=$ $4 {\times}10^{3}=4000$
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