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

To Find Vertical Asymptotes: In order to find the vertical asymptotes of a rational function, you need to have the function in factored form. You also will need to find the zeros of

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