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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain. Graph shows a piecewise function plotted on a coordinate plane. It has 4 segments. Segment 1 has closed dots at (0, 1) and (1, 1). Segment 2 has closed dots at (1, 1) and (2, 2). Segment 3 has closed dots at (2, 3) and (3, 3). f(x) = 3 f(x) = 4 f(x) = 2 − x f(x) = x

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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.

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