From the graph, we can see that the graph has bumps on (0,25) and (5.1, -7) coordinates.
The higher point is (0,25) and lower one is at (5.1, -7).
We need to find to find the interval of the local minimum and value of local minimum.
From the graph, we can see that graph has local minimum is -7 in the interval [4,7].
Therefore, correct option is 4th option.
Over the interval [4,7], the local minimum is -7.