Rational Functions |
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Below are two rational functions. Each has one excluded value that cannot be in the denominator.
Figure 1. |
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Graphs of rational functions may have breaks in continuity. Breaks in continuity occur at excluded domain values.
Figure 2. |
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The graph above contains a dotted line called an Asymptote.
Asymptote |
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An Asymptote is a line that a function approaches, but never reaches. |
Figure 3. |
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The graph above contains a hole. This is refered to as Point Discontinuity.
Point Discontinuity |
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Point discontinuity refers to a “hole” in a graph of a function. |