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
Solution
Understanding the Question
The question is asking about the nature of a function based on its equation being a rational expression.
Relevant Concepts
- Rational Function: A rational function is defined as a function that can be expressed as the quotient of two polynomials.
- 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 , where and 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
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