Below are two rational functions. Each has one excluded value that cannot be in the denominator.
Graphs of rational functions may have breaks in continuity. Breaks in continuity occur at excluded domain values.
The graph above contains a dotted line called an Asymptote.
An Asymptote is a line that a function approaches, but never reaches.
The graph above contains a hole. This is refered to as Point Discontinuity.
Point discontinuity refers to a “hole” in a graph of a function.