"Rational function" is the name given to a function which can be represented as the quotient of polynomials, just as a rational number is a number which can be expressed as a quotient of whole numbers. Rational functions supply important examples and occur naturally in many contexts. All polynomials are rational functions.
A rational function is defined as the quotient of two polynomial functions.
f(x) = P(x) / Q(x)
where P and Q are polynomials (Q 
0).
0).In the case of one variable,
, a function is called a rational function if and only if it can be written in the form
and 
are polynomial functions in and is not the zero polynomial. The domain of 
is the set of all points for which the denominator 
is not zero, where one assumes that the fraction is written in its lower degree terms, that is, 
and 
have no common factor of positive degree.
No comments:
Post a Comment