Answer:
Okay, let's solve this step-by-step:
1) The graph shows a piecewise function with 4 segments.
2) Segment 1 has closed dots at (0, 1) and (1, 1), so the equation for this segment is f(x) = 1 for 0 ≤ x ≤ 1.
3) Segment 2 has closed dots at (1, 1) and (2, 2), so the equation for this segment is f(x) = 2 - x for 1 < x ≤ 2.
4) Segment 3 has closed dots at (2, 3) and (3, 3), so the equation for this segment is f(x) = 3 for 2 < x ≤ 3.
5) Matching the given equations to the segments:
- f(x) = 3 corresponds to Segment 3
- f(x) = 4 does not correspond to any segment
- f(x) = 2 - x corresponds to Segment 2
- f(x) = x does not correspond to any segment
So the completed matching would be:
- f(x) = 3 -> Segment 3
- f(x) = 2 - x -> Segment 2
- f(x) = 1 -> Segment 1
The other two equations, f(x) = 4 and f(x) = x, do not correspond to any of the segments shown in the graph.