Is this graph discrete or continuous

Function: In the graph of a continuous function, the points are connected with a continuous line, since every point has meaning to the original problem.

The function is not continuous at this point. This kind of discontinuity is called a removable discontinuity. Removable discontinuities are those where there is a hole in the graph as there is in this case. ... In other words, a function is continuous if its graph has no holes or breaks in it.