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A rational function is a function whose equation contains a rational expression.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Question

A rational function is a function whose equation contains a rational expression.

A. True
B. False


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Solution

The statement "A rational function is a function whose equation contains a rational expression" is indeed true.

Explanation:

  1. Definition of Rational Function: A rational function is defined as the ratio of two polynomial functions. This can be expressed in the form:

    f(x)=P(x)Q(x) f(x) = \frac{P(x)}{Q(x)}

    where P(x) P(x) and Q(x) Q(x) are polynomials, and Q(x)0 Q(x) \neq 0 .

  2. Rational Expression: A rational expression is a fraction where both the numerator and the denominator are polynomials. Therefore, the definition of a rational function aligns perfectly with the characteristics of a rational expression.

Thus, we conclude that the statement is true.

Final Answer

A. True

This problem has been solved

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