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Matching each equation of the plecewise function represented in the graph will be:
- 2 < x < 3 = 3 - x
- 0 < x < 2 = 1
- x = 2 = x
- 3 < x < 5 = 5 - x
It should be noted that a domain simply means the set of inputs that are accepted by the function.
In this case, the equation of the piecewise function represented is given.
The graph is attached.
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The point-slope form: 
m = 3; (-1; 5)
subtitute
y - 5 = 3(x - (-1))
y - 5 = 3(x + 1)
m = 3; (-1; 5)
subtitute
y - 5 = 3(x - (-1))
y - 5 = 3(x + 1)