College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Section 2.7 - Graphing Techniques - 2.7 Exercises - Page 255: 10


See the picture below.

Work Step by Step

The parent function is $y=\vert x\vert$ (in red), but the graph of $g(x)=\frac{3}{4}\vert x\vert$ (in blue) will be wider, as the coefficient multplies each y-value of the parent function by $\frac{3}{4}$ By the use of graphing transformation techniques, the graph is shrinked by a factor of $\frac{4}{3}$ For drawing the exact graph of $g(x)$ here is the table of values of the given function: $f(-4)=\frac{3}{4}\mid -4\mid=3$ $f(-1)=\frac{3}{4}\mid -1\mid=\frac{3}{4}$ $f(0)=\frac{3}{4}\mid 0\mid=0$ $f(1)=\frac{3}{4}\mid 1\mid=\frac{3}{4}$ $f(4)=\frac{3}{4}\mid 4\mid=3$
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