What are ways discontinuous points can be accounted for graphically?

There are three types of discontinuities.

(1).  A "hole" in a graph.  This type of discontinuity is called removable.        For example, f(x) = x + 2 if x ≠ 1 and f(1) = 5 has a hole in the            graph at the point (1, 3).

(2). A gap (or jump) in the graph (nonremovable discontinuity).  For             example,f(x) = x, if x < 2 and f(x) = x2, if x ≥ 2 has a gap in the         graph when x = 2.

(3). A vertical asymptote (infinite discontinuity). For example,                     f(x) = 1/(x+3) has a vertical asymptote when x = -3.

Step-by-step explanation: