Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Review Exercises - Page 172: 7

Answer

The graph of $g$ is the graph of $f$ shifted up by $2$ units.

Work Step by Step

The given functions are $\Rightarrow f(x)=\left | x \right |$ and $g(x)=\left | x \right |+2$ Let the $x-$coordinates be $-2,-1,0,1,2$. Calculate the corresponding $y-$ coordinates. All calculations are shown in the image file. For each of the functions connect all points. Notice that the graph of $g$ is obtained by shifting the graph of $f$ up by $2$ units.
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