At which points is the function shown discontinuous Solution

At which points is the function shown discontinuous?

From the graph we can see that the function is discontinuous at the points x=1, x=3 and x=4.

As there is a hole at x=1, so function is discontinuous at x=-1.

At x=3, the function has an infinite discontinuity, as from the left of 3, the function approaching to infinity.

And at x=4, there is a jump discontinuity.

So discontinuous at x={1,3,4}