Answer
See graph and explanations.
Work Step by Step
Step 1. Based on the figure and conditions given in the Exercise, the first line segment starts at point $(-1,2)$ with a slope of $-2$ (read from the step function); thus its line equation is $y-2=-2(x+1)$ or $y=-2x$. This also gives its other endpoint at $(0,0)$
Step 2. The second line segment starts at $(0,0)$ and has a slope of $0$; thus its equation is $y-0=0(x-0)$ or $y=0$, which is the x-axis. The other endpoint for this segment is $(1,0)$
Step 3. The third line segment starts at $(1,0)$ and has a slope of $1$. Thus its equation is $y=x-1$, and the other endpoint for this segment is $(4,3)$
Step 4. The last line segment starts at $(4,3)$ and has a slope of $-1$. Thus its equation is $y-3=-(x-4)$ or $y=-x+7$, and the other endpoint for this segment is $(6,1)$
Step 5. We can graph the above results as shown in the figure.
