Which graph represents the following piecewise defined function?

I think I found the function and graphs in the choices. I chose Graph C that represents the given function.

g (x) = x²; x < 0

g (x) = 1/2 x; 0 < x < 4

g (x) = x; x > 4

g (x) = - 3² = 9 → (-3,9)

g (x) = 1/2 (4) = 2 → (4,2)

g (x) = 4 → (4,4) going to infinity