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What are the characteristics of rational functions?

One of the main characteristics of rational functions is the existence of asymptotes. An asymptote is a straight line to which the graph of the function gets arbitrarily close.

What is the formula of rational function?

A rational function is a function of the form f(x) = p ( x) q ( x) , where p(x) and q(x) are polynomials and q(x) ≠ 0 . The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 .

What is proper rational function?

A proper rational function is a rational function in which the degree of P ( x ) {\displaystyle P(x)} is no greater than the degree of Q ( x ) {\displaystyle Q(x)} and both are real polynomials.

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