Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Review - Exercises - Page 388: 6

Answer

domain: $(-\infty,\infty)$ range: $(0,\infty)$ asymptote: $y=0 $(the x-axis)

Work Step by Step

1. Start with graphing $f_{1}(x)=2^{x}$ as a parent function (blue, dashed on the image below) Select several values for x, calculate $3^{x}$ for each, plot the points and connect with a smooth curve) 2. $-x+1=-(x-1)$ The graph of f (red) is obtained from the graph of $f_{1}(x)$ by $f_{2}(x)=f_{1}(-x)$, reflecting across the y-axis, and then $f(x)=f_{2}(x-1)$, shifting right by 1 unit. domain: $(-\infty,\infty)$ range: $(0,\infty)$ asymptote: $y=0 $(the x-axis)
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