Asymptotes
Flashcard
•
Mathematics
•
University
•
Practice Problem
•
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 horizontal, vertical, or oblique.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
Define horizontal asymptote.
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
Define vertical asymptote.
Back
A vertical asymptote is a vertical line that the graph of a function approaches as the function's value approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
How do you find horizontal asymptotes for rational functions?
Back
To find horizontal asymptotes of a rational function, compare the degrees of the numerator and denominator. If the degree of the numerator is less, the asymptote is y=0. If they are equal, the asymptote is y=ratio of leading coefficients.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes for rational functions?
Back
Vertical asymptotes occur where the denominator of a rational function is zero and the numerator is not zero.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
Back
The vertical asymptote is x = 3.
Tags
CCSS.HSF-IF.C.7D
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