Guzman Allan
07/19/2024 · Junior High School
Define horizontal and vertical asymptotes in the context of rational functions.
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Horizontal asymptotes are lines the graph approaches as x goes to infinity or negative infinity. If the numerator's degree is less than the denominator's, the asymptote is y=0. If they're equal, the asymptote is the ratio of the leading coefficients. If the numerator's degree is greater, there's no horizontal asymptote. Vertical asymptotes are where the denominator is zero and the numerator isn't, creating undefined points or infinite values.
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