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Question: Horizontal and Vertical Asymptotes

Question:Horizontal and Vertical Asymptotes

PreCiZhuN 68 Maple
February 18 2008
0

How do i go about identifying all horizontal and vertical asymptotes for a given problem?

Lets say (6x^2)/(x^3+2x^2-5x) for example, with multiple powers. How do I identify all of the asmpytotes?

 

And I was also curious, does every undefined value of f(x) lead to a vertical asymptote? Can the graph of of a function cross the graph of its horizontal or vertical asymptotes, and how many horizontal asymptotes can a graph have?
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