
Asymptote and Holes Practice
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as the input approaches a. It indicates values that the function cannot take.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes?
Back
To find vertical asymptotes, set the denominator of a rational function equal to zero and solve for x.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What is a hole in a graph?
Back
A hole is a point where a function is not defined due to a common factor in the numerator and denominator that cancels out.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
How do you find holes in a function?
Back
To find holes, factor the numerator and denominator, identify common factors, and set them equal to zero.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a line y = b that a function approaches as x approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
How do you determine horizontal asymptotes for rational functions?
Back
1. If the degree of the numerator is less than the degree of the denominator, y = 0. 2. If the degrees are equal, 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
7.
FLASHCARD QUESTION
Front
What does it mean if a function has no horizontal asymptote?
Back
It means that as x approaches infinity or negative infinity, the function does not approach a specific y-value.
Tags
CCSS.HSF-IF.C.7D
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