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A rational function is a function whose equation contains?

a rational expression.


If the equation of a function is a rational expression the function is rational?

True


If the equation of a function is a rational expression is the function rational?

Yes. Rational functions must contain rational expressions in order to be rational.


An expression which contains polynomials in both the numerator and denominator?

rational expression


What is a rational function?

In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. Neither the coefficients of the polynomials nor the values taken by the function are necessarily rational numbers.In the case of one variable, , a function is called a rational function if and only if it can be written in the formwhere 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 several factors of the positive degree.Every polynomial function is a rational function with . A function that cannot be written in this form (for example, ) is not a rational function (but the adjective "irrational" is not generally used for functions, but only for numbers).An expression of the form is called a rational expression. The need not be a variable. In abstract algebra the is called an indeterminate.A rational equation is an equation in which two rational expressions are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected.

Related Questions

A rational function is a function whose equation contains?

a rational expression.


True or false a rational function is a function whose equation contains a rational expression?

It is true that a rational function is a function whose equation contains a rational expression. This is used in various math classes.


A function whose equation contains a rational expression is known as?

a ractional function


If the equation of a function is a rational expression the function is rational?

True


The equation of a rational function does not have to contain a rational expression?

false


Is the equation of a rational function does not have to contain a rational expression true?

Yes.


If the equation of a function is a rational expression the function is rational.?

Yes. Rational functions must contain rational expressions in order to be rational.


If the equation of a function is a rational expression is the function rational?

Yes. Rational functions must contain rational expressions in order to be rational.


If the equation of a rational function is a rational expression is the function rational?

Yes. Rational functions must contain rational expressions in order to be rational.


Is an equation that contains one or more rational expressions?

Yes, an equation that contains one or more rational expressions is called a rational equation. A rational expression is a fraction where the numerator and/or denominator are polynomials. For example, the equation (\frac{x + 1}{x - 2} = 3) is a rational equation because it includes the rational expression (\frac{x + 1}{x - 2}). Solving such equations often involves finding a common denominator and addressing any restrictions on the variable to avoid division by zero.


Is a rational exponent equation?

No, it is an expression, not an equation.


If the equation of a function is a rational expressions the function is rational?

Yes. Rational functions must contain rational expressions in order to be rational.