College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 204: 50

Answer

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Work Step by Step

Determine the equation of the line passing through the points $(0,1)$ and $(2,-1)$: $y-1=\dfrac{-1-{1}}{2-{0}}(x)$ $y-1=-x$ $y=-x+1$ The formula for the piece-wise function graph is as follows: $f(x)=$ $\begin{cases} 1 & \text{if} & x \leq -1\\ -x+1 & \text{if} & -1\lt x \leq 2\\ -2 & \text{if} & x \gt 2 \end{cases}$
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