Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.1 - Exponential Functions and Their Graphs - 5.1 Exercises - Page 368: 32

Answer

It is necessary to reflect $f(x)$ about the x-axis and then to move the new graph 5 units upward.

Work Step by Step

Observe: $f(-1)=0.3^{-1}\approx3.3333$ which gives the point: $(-1,3.3333)$ $g(-1)=-0.3^{-1}+5\approx-3.3333+5=1.6667$ which gives the point: $(-1,1.6667)$ $f(0)=0.3^0=1$ which gives the point: $(0,1)$ $g(0)=-0.3^0+5=-1+5=4$ which gives the point: $(0,4)$ $f(1)=0.3^1=0.3$ which gives the point: $(1,0.3)$ $g(1)=-0.3^1+5=-0.3+5=4.7$ which gives the point: $(1,4.7)$ $f(2)=0.3^2=0.09$ which gives the point: $(2,0.09)$ $g(2)=-0.3^2+5=-0.09+5=4.91$ which gives the point: $(2,4.91)$
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