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Step-by-step explanation:

Its just facts

Graph B matches the criteria.

Step-by-step explanation:

The piecewise function is given by  

f(x) = x for x ≥ 2

f(x) = 5 for - 3 < x < 2

f(x) = 3x + 2 for x ≤ - 3

Now, the graph of the function will be x = 5 i.e. parallel to x-axis between - 3 < x < 2.

Therefore, the graph will be either B or D.

Now,  f(x) = x for x ≥ 2.

Hence, at x = 2, f(2) = 2

Therefore, the function f(x) = x with  be the graph starting from f(2) = 2 for x ≥ 2.

Therefore, graph B matches the criteria. (Answer)