give me five category of Rational Function?
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Answer:
A rational function is a function that is a fraction and has the property that both its numerator and denominator are polynomials. In other words, R(x) is a rational function if R(x) = p(x) / q(x) where p(x) and q(x) are both polynomials. Recall that a polynomial is any function of the form f(x) = a-sub-zero + a-sub-1 times x + a-sub-2 times x^2 + . . . + a-sub-n * x^n, where a-sub-0, a-sub-1, . . ., a-sub-n are all real numbers and the exponents of each x is a non-negative integer.
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Answer:
In mathematics, a rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K. In this case, one speaks of a rational function and a rational fraction over K. The values of the variables may be taken in any field L containing K. Then the domain of the function is the set of the values of the variables for which the denominator is not zero and the codomain is L.
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