Given:
The graph of a piecewise function.
To find:
The points of discontinuity.
Solution:
The function is discontinuous at a point if:
1. There is a jump in the graph of function.
2. There is a hole in the graph at that point.
3. The function approaches to infinite at that point.
From the given graph it is clear that the graph of the function has jumps are at points and
.
So, the function is discontinuous at .
Therefore, the correct option is (c).