1. **State the problem:** We analyze the piecewise linear graph with points (-5, -2), (-3, 3), (-1, 3), (2, 5), (4, 1), and (6, 3) to identify intervals of increase, decrease, constancy, and relative/absolute extrema. 2. **Increasing intervals:** The graph rises from (-5, -2) to (-3, 3), from (-1, 3) to (2, 5), and from (4, 1) to (6, 3). So, increasing on $[-5,-3]$, $[-1,2]$, and $[4,6]$. 3. **Decreasing intervals:** The graph falls from (2, 5) to (4, 1), so decreasing on $[2,4]$. 4. **Constant intervals:** The graph is flat from (-3, 3) to (-1, 3), so constant on $[-3,-1]$. 5. **Relative maxima:** A relative max occurs where the graph changes from increasing to decreasing. At $x=2$, $y=5$ is a relative max. 6. **Relative minima:** A relative min occurs where the graph changes from decreasing to increasing. At $x=4$, $y=1$ is a relative min. 7. **Absolute maximum:** The highest point on the graph is at $x=2$, $y=5$. 8. **Absolute minimum:** The lowest point on the graph is at $x=-5$, $y=-2$. **Final answers:** - Increasing: $[-5,-3]$, $[-1,2]$, $[4,6]$ - Decreasing: $[2,4]$ - Constant: $[-3,-1]$ - Relative Max: $(2,5)$ - Relative Min: $(4,1)$ - Absolute Max: $(2,5)$ - Absolute Min: $(-5,-2)$