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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
The Visual Answers
Disappearing Asymptotes:
Consider the graph of the function defined by:
212
xx
y
And then, the graph of the function defined by:
112
xx
y
hole in the graph!
Again:
212
xx
y112
xx
y
hole in the graph!
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.
hole in 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.?
212
xx
y
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