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Graphing Rational Functions in which the degree of the numerator is greater than the degree of the denominator. In this case, if the degree of the numerator is greater than the degree of the denominator by exactly 1 degree, you have no Horizontal Asymptote, but instead a Slant Asymptote. The equation of the Slant Asymptote can be found by using polynomial long division. The equation is your result, ignoring the remainder. If the degree of the numerator is greater than the degree of the denominator by more than 1 degree, you have neither a horizontal nor a slant asymptote. In most cases, you still have a vertical asymptote. If you can divide the numerator and denominator evenly, where the denominator disappears by factoring out, you may have a graph of a polynomial function. However, you will have a removable discontinuity at the point where the function is undefined. Source: Algebra 2; Section 9.3 Authors: Larson, Boswell, Kanold, Stiff