\"\"

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An asymptote is essentially a line that a graph approaches, but does not intersect.

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Consider the function as \"\".

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Graph the function:

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\"\"

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Observe the graph:

\

The graph never intersects \"\"-axis, its closer to \"\" but never intersects \"\" as well.

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\"\"

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An asymptote is a line that a graph approaches, but does not intersect.