How to find horizontal and vertical asymptotes

A vertical asymptote with a rational function occurs when there is division by zero. For example, with f (x) = \frac {3x} {2x -1} , f (x) = 2x−13x, the denominator of 2x-1 2x −1 is 0 when x = \frac {1} {2} , x = 21, so the function has a vertical

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Asymptotes: Worked Examples

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2-07 Asymptotes of Rational Functions

Find the horizontal and vertical asymptotes of the function: f(x) = x+1/3x-2. Solution: Horizontal Asymptote: Degree of the numerator = 1. Degree of the denominator = 1.