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rational function
[rational function|rational function] A rational function is a function defined as the quotient of two polynomial functions, P(x) and Q(x).
Definition
rational function A rational function is a function defined as the quotient of two polynomial functions, P(x) and Q(x). It has a y-intercept at f(0) if the function is defined at zero.
Mechanism
rational function To analyze a rational function's graph, determine vertical asymptotes by identifying where the denominator equals zero. The domain is found by excluding these values.
Examples
rational function The domain of a rational function includes all real numbers except those that cause the denominator to equal zero.