A rational function is a function defined as the ratio of two polynomial functions, typically expressed in the form ( f(x) = \frac{P(x)}{Q(x)} ), where ( P(x) ) and ( Q(x) ) are polynomials. The graph of a rational function can exhibit a variety of behaviors, including vertical and horizontal asymptotes, and can have holes where the function is undefined. The degree of the polynomials affects the function's end behavior and the locations of its asymptotes. Overall, rational functions can represent complex relationships and are often used in calculus and algebra.
Yes. Rational functions must contain rational expressions in order to be rational.
y = cuberoot(x) for real x is not a rational function.
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.
a rational function.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes. Rational functions must contain rational expressions in order to be rational.
Yes. Rational functions must contain rational expressions in order to be rational.
True
a rational expression.
y = cuberoot(x) for real x is not a rational function.
It is true that a rational function is a function whose equation contains a rational expression. This is used in various math classes.
True
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.
That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".