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 are asymptotes?
Back
Asymptotes are lines that a graph approaches but never touches. They can be vertical, horizontal, or slant.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a vertical line x = a where the function approaches infinity or negative infinity as x approaches a.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line y = b that the function approaches as x approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes?
Back
Vertical asymptotes are found by setting the denominator of a rational function equal to zero and solving for x.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you find horizontal asymptotes?
Back
Horizontal asymptotes are determined by comparing the degrees of the numerator and denominator of a rational function.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in horizontal asymptotes?
Back
The horizontal asymptote can be found by taking the ratio of the leading coefficients of the numerator and denominator if their degrees are the same.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What is a slant asymptote?
Back
A slant (or oblique) asymptote occurs when the degree of the numerator is one greater than the degree of the denominator.
Tags
CCSS.HSF-IF.C.7D
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