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Disappearing Asymptotes

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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:. - PowerPoint PPT Presentation

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• Disappearing Asymptotes:

• And then, the graph of the function defined by:

• Again:

• Now consider:GRAPHICALLY !

• 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 asymptote2) the diagonal distance between the two halves of the graph.

• 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.?

Save this slide for MCV4.

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