College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 245: 43


See below.

Work Step by Step

We see that the left hand side of the graph corresponds to the line with a slope of $\frac{-1}{1}=-1$ and an y-intercept of $0$, which implies the line of $y=-x$. We can also see that the right side of the graph corresponds to a line with slope of $\frac{1}{2}=0.5 $ and y-intercept of $0$, which is $y=0.5x$. So our equation is: $f(x)=-x$ if $-1\leq x\leq0$ and $f(x)=0.5x$ if $0\leq x\leq1$
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