Asymptotes

Flashcard
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an asymptote?
Back
An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote occurs when the function approaches infinity as the input approaches a certain value. It is found by setting the denominator of a rational function to zero.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote indicates the behavior of a function as the input approaches infinity. It is determined by the degrees of the numerator and denominator in a rational function.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What is the significance of an oblique asymptote?
Back
An oblique (or slant) asymptote occurs when the degree of the numerator is one greater than the degree of the denominator. It represents the linear behavior of the function as x approaches infinity.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
Back
Perform polynomial long division. The result will give the equation of the oblique asymptote.
Tags
CCSS.HSF-IF.C.7D
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