Answer:
C.

Step-by-step explanation:
The graph of the piecewise function consists of two linear functions which graphs meets at point with x-coordinate x = 2.
1. The left linear function is determined for all x < 2 and is passing through the points (0,-3) and (-2,-4). So, its slope is

and its equation is

2. The right linear function is determined for all x ≥ 2 and is passing through the points (2,-2) and (3,1). So, its slope is

and its equation is

3. Hence, the expression for the piece-wise function is
