Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises: 5


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

Work Step by Step

1. Start with $f_{1}(x)=3^{x}$ 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. $f(x)=3^{x-2}=f_{1}(x-2)$, so the graph of f (red) is obtained from the graph of $f_{1}(x)$ by shifting it to the right by 2 units. (Shift the points (used for 1.) 2 the right, and plot the curve)
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