Rational Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational function?
Back
A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
What are the x-intercepts of a function?
Back
The x-intercepts of a function are the points where the graph of the function crosses the x-axis, meaning the output (y-value) is zero.
3.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of a rational function?
Back
To find the x-intercepts, set the numerator of the rational function equal to zero and solve for x.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What are asymptotes in rational functions?
Back
Asymptotes are lines that the graph of a function approaches but never touches. They can be vertical, horizontal, or oblique.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote occurs at values of x that make the denominator of a rational function zero, leading to undefined values.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote describes the behavior of a function as x approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
How do you determine horizontal asymptotes for rational functions?
Back
To find horizontal asymptotes, compare the degrees of the numerator and denominator polynomials.
Tags
CCSS.HSF-IF.C.7D
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