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# Disappearing Asymptotes

Disappearing Asymptotes. The Visual Answers. Consider the graph of the function defined by:. Disappearing Asymptotes:. And then, the graph of the function defined by:. hole in the graph!. hole in the graph!. Again:.

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## Disappearing Asymptotes

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1. Disappearing Asymptotes The Visual Answers

2. Consider the graph of the function defined by: Disappearing Asymptotes:

3. And then, the graph of the function defined by:

4. hole in the graph!

5. hole in the graph! Again:

6. Consider the graph of a series of rational functions with denominator of the form x – a, where 1 < a < 2. Keep your eye on: 1) the position of the vertical asymptote 2) the diagonal distance between the two “halves” of the graph.

7. hole in the graph!

8. Extension: • What would happen if we explored the same relationship from the left side of the asymptote? i.e. • How would the graph change, etc.?

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