y = cuberoot(x) for real x is not a rational function.
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A polynomial function is simply a function that is made of one or more mononomials. For example 4x^2+3x-5 A rational function is when a polynomial function is divided by another polynomial function.
Yes. Rational functions must contain rational expressions in order to be rational.
A rational function is the quotient of two polynomial functions.
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.