Which is the graph of g(x)?

4 is the correct answer, I believe.

Reasoning:

The first line must be graphed with a constant y of 3, and stop before -2. Which it does on all 4 graphs.

The third line must, when extended, pass through point (0, -3). Only graph 1 and 4 follow that criteria, so it is not 2 or 3.

The second line's y-intercept must be 2, as well as begin at -2 and end before 2. Only graph 4 correctly plots this equation.

I hope this helps! :)