Asymptotes Algebraically

Quiz
•
Mathematics
•
12th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
No horizontal asymptote
Answer explanation
The horizontal asymptote of the rational function is found by comparing the degrees of the numerator and denominator. As the degrees are equal, the horizontal asymptote is the ratio of the leading coefficients, giving y = 3/6 or 1/2
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the degree of the numerator is less than the degree of the denominator in a rational function, what is the horizontal asymptote?
The leading coefficient of the numerator divided by the leading coefficient of the denominator
No horizontal asymptote
Answer explanation
The horizontal asymptote of a rational function where the degree of the numerator is less than the degree of the denominator is y = 0.
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
No horizontal asymptote
Answer explanation
The function does not have a horizontal asymptote because the degree of the numerator is greater than the degree of the denominator, leading to no horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the degree of the numerator and the degree of the denominator are the same, how do you find the horizontal asymptote of a rational function?
By dividing the leading coefficients of the numerator and denominator
The horizontal asymptote does not exist
Answer explanation
By dividing the leading coefficients of the numerator and denominator to find the horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
No horizontal asymptote
Answer explanation
The horizontal asymptote of the function is y = 0 because the degree of the numerator is less than the degree of the denominator, leading to a horizontal asymptote at y = 0.
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If a rational function has a numerator degree greater than the denominator degree, what can be said about the horizontal asymptote?
It does not exist
It is determined by the ratio of the leading coefficients
Answer explanation
If a rational function has a numerator degree greater than the denominator degree, the horizontal asymptote does not exist.
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There are no vertical asymptotes
Tags
CCSS.HSF-IF.C.7D
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