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Question 1 of 10If the equation of a function is a rational expression, the function is rational.A.TrueB.False

Question

Question 1 of 10

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

A. True
B. False

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Solution

Understanding the Question

The question is asking about the nature of a function based on its equation being a rational expression.

Relevant Concepts

  1. Rational Function: A rational function is defined as a function that can be expressed as the quotient of two polynomials.
  2. Rational Expression: This is a fraction where both the numerator and the denominator are polynomials.

Analysis

Since the definition of a rational function directly mentions that it is the quotient of two polynomials, if the equation of a function is a rational expression (i.e., it is of the form P(x)Q(x) \frac{P(x)}{Q(x)} , where P(x) P(x) and Q(x) Q(x) are polynomials), then the function itself is classified as a rational function.

Verify and Summarize

Therefore, the statement, "If the equation of a function is a rational expression, the function is rational," is indeed true.

Final Answer

A. True

This problem has been solved

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