What is a Rational Function?
Basic Rational Functions & Asymptotes

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•
Mathematics
•
10th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.
2.
FLASHCARD QUESTION
Front
What are Asymptotes?
Back
Asymptotes are lines that a graph approaches but never touches. They can be vertical, horizontal, or oblique.
3.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes?
Back
Vertical asymptotes occur where the denominator of a rational function is zero, provided the numerator is not also zero at that point.
4.
FLASHCARD QUESTION
Front
How do you find horizontal asymptotes?
Back
Horizontal asymptotes are found by comparing the degrees of the numerator and denominator polynomials.
5.
FLASHCARD QUESTION
Front
What is the domain of a rational function?
Back
The domain of a rational function includes all real numbers except where the denominator is zero.
6.
FLASHCARD QUESTION
Front
What is the range of a rational function?
Back
The range of a rational function includes all real numbers except for the values that make the function undefined.
7.
FLASHCARD QUESTION
Front
What is the significance of the degree of the numerator and denominator?
Back
The degree of the numerator and denominator helps determine the behavior of the function as x approaches infinity or negative infinity.
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