Question

Why asymptote exists?

Answer 1

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An asymptote is a line that a graph approaches without touching. Similarly, horizontal asymptotes occur because y can come close to a value, but can never equal that value. In the previous graph, there is no value of x for which y = 0 ( ≠ 0), but as x gets very large or very small, y comes close to 0.

Answer 2

Answer:

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Why asymptote exists?

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A slant asymptote exists since the degree of the numerator is 1 greater than the degree of the denominator. The quotient is 1 with a remainder of 5. Ex 2: Find the asymptotes (vertical, horizontal, and/or slant) for the following function. A vertical asymptote is found by letting the denominator equal zero.

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