1. Find the y intercept. Simply set x = 0. Everything but the constant terms vanish, leaving y = 5/2. Expressing this as a coordinate pair, (0, 5/2) is a point ... 2. Find the horizontal asymptote. Long divide the denominator into the numerator to determine the behavior of y for large absolute values of x. In this example ... 3. Find the zeros. A rational function has a zero when it's numerator is zero, so set N(x) = 0. In the example, 2x - 6x + 5 = 0. The discriminant of this ...
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