1. The problem involves analyzing a graph with points (-3,0), (0,2), (3,-1), and (5,4). 2. You stated the domain as \{-3, 0, 3, 5\}, but the domain should include all x-values where the graph exists. Since the graph is piecewise linear connecting these points, the domain is actually all x-values from -3 to 5 inclusive, i.e., $$[-3,5]$$, not just the discrete points. 3. Similarly, the range you gave is \{-1, 0, 2, 4\}, but the range includes all y-values the graph attains between these points. Because the graph is linear between points, the range is the interval from the minimum y-value to the maximum y-value, which is $$[-1,4]$$. 4. You said the graph is a function because it passes the vertical line test, which is correct. 5. For increasing and decreasing intervals, your intervals are inconsistent and incorrectly ordered. The graph increases from x = -3 to x = 0, decreases from x = 0 to x = 3, and increases again from x = 3 to x = 5. So the correct intervals are: - Increasing on $$[-3,0]$$ and $$[3,5]$$ - Decreasing on $$[0,3]$$ 6. Turning points are correctly identified at (0,2) and (3,-1). 7. The value f(5) = 4 is correct. Summary: The main errors are in the domain and range being listed as discrete sets instead of intervals, and the increasing/decreasing intervals being incorrectly stated and ordered.