there are no horizontal asymptotes; 2) if the degree of the denominator is higher, the horizontal asymptote is y = 0; 3) if the degrees are equal, the horizontal asymptote is equal to the ratio of the leading coefficients
For graphing functions, we need to take care of domain, range, asymptotes, and holes. Also, we need to know at least two to three points on each part of the curve for graphing the function.
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