Asymptotes Algebraically

Asymptotes Algebraically

12th Grade

10 Qs

quiz-placeholder

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Asymptotes Algebraically

Asymptotes Algebraically

Assessment

Quiz

Mathematics

12th Grade

Hard

CCSS
HSF-IF.C.7D

Standards-aligned

Created by

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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