For the shown graph, we need to find the value of h(2).
h(2) represents the value of h function for x=2.
We need to check the value of function on the graph where h is 2.
From the graph, we can see for x=2, we have a solid dot for y coordinate at 0 and a hollow dot at y coordinate at 3.
Because hollow dot represents excluded value.
Therefore, we would take y coordinate of solid dot of the graph at x=2.
Therefore, f(2) = 0.
Correct option is third option, that is 0.