Rational Functions |
---|

Below are two rational functions. Each has one excluded value that cannot be in the denominator.

Figure 1. |
---|

Graphs of rational functions may have breaks in continuity. Breaks in continuity occur at excluded domain values.

Figure 2. |
---|

The graph above contains a dotted line called an Asymptote.

Asymptote |
---|

An Asymptote is a line that a function approaches, but never reaches. |

Figure 3. |
---|

The graph above contains a hole. This is refered to as Point Discontinuity.

Point Discontinuity |
---|

Point discontinuity refers to a “hole” in a graph of a function. |