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The asymptote of a function is a value that the function approaches but never reaches.

In this case it is y = h

In the following example with a = 1, b = 2, c = 10 and h = 3, the asymptote is y = 3 and the zero of the function is 3.5. (The lines are very close but they never meet even though it is hard to see because of a lack of precision: it is hard to draw lines that are infinitely thin...)

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