Finding the asymptotes and intercepts of a rational function

Finding the asymptotes and intercepts of a rational function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the X and Y intercepts of a function by setting the opposite variable to zero. It then covers how to determine the domain and vertical asymptotes by setting the denominator to zero and solving for X. The tutorial concludes with an explanation of horizontal asymptotes, focusing on comparing the degrees of the numerator and denominator and using coefficients to find the asymptote.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the X intercept of the function given in the video?

Undefined

1

9

0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is there no vertical asymptote for the function discussed?

The numerator is zero

The denominator is always positive

The square root of a negative number is imaginary

The function is undefined

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the horizontal asymptote of a function?

By finding the X intercept

By comparing the degrees of the numerator and denominator

By setting the numerator to zero

By setting the denominator to zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the horizontal asymptote of the function in the video?

0

Undefined

1

9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph at the horizontal asymptote?

It becomes undefined

It crosses the line

It touches the line

It never touches the line