Asymptotes
Flashcard
•
Mathematics
•
12th 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 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
How do you determine the horizontal asymptote of a rational function?
Back
1. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y=0. 2. If the degrees are equal, the horizontal asymptote is y = (leading coefficient of numerator)/(leading coefficient of denominator). 3. If the degree of the numerator is greater, there is no horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a vertical line that the graph of a function approaches as the input approaches a certain value, typically where the function is undefined.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes in a rational function?
Back
Vertical asymptotes occur at values of x that make the denominator zero, provided those values do not also make the numerator zero.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What is a hole in a rational function?
Back
A hole occurs in a rational function at a value of x where both the numerator and denominator are zero, indicating a removable discontinuity.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What happens to the horizontal asymptote when the degree of the numerator is less than the degree of the denominator?
Back
The horizontal asymptote is y=0.
Tags
CCSS.HSF-IF.C.7D
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