A Jump Discontinuity is a discontinuities in which the function jumps from one point to another along its graph.
If we approach a point on the graph from the left, the value that we get for the slope of the graph at that point must not be the same as the value of the slope when approaching the same point from the right.
Hence, we find two different graphs and superimpose them on each other.
A sketch of this is done below:
As you can see, there is a jump from the curve to the straight line and as we approach point P from the left,
we get a different slope but as we approach P from the right, we get an undefined value because the line from the right does not pass through the point P.
Hence, we can construct a joint discontinuity as:
