asymptotes - occur at values of “x” that are not in the...

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Gunjan Desai Calculus AP An asymptote is a line or curve that a certain function approaches. An asymptote can either be a vertical or a horizontal line whose value cannot be reached. The asymptote just describes the behaviour to the right and left limits of the graph. The graph will curve and will look as if it touches the asymptote but it never will. It will approach arbitrarily close to the value of the asymptote, which is also called the limit. Vertical asymptotes
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Unformatted text preview: occur at values of “x” that are not in the domain, usually values of “x” that make a denominator zero. The graph does not exist at these points, but y will go to positive or negative infinity asymptote. Graphs can never touch or cross a vertical asymptote. A horizontal asymptote represents the "limit" of y of a function as x goes to positive or negative infinity (the left and right "limits" of the graph)....
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