Finding the vertical, horizontal and slant asymptotes of a rational function

Finding the vertical, horizontal and slant asymptotes of a rational function

Assessment

Interactive Video

Created by

Quizizz Content

Mathematics

11th Grade - University

Hard

The video tutorial covers the process of finding vertical and horizontal asymptotes in mathematical functions. It begins with factoring the denominator to find vertical asymptotes and setting it equal to zero. The tutorial then explains how to determine horizontal asymptotes by comparing the degrees of the numerator and denominator, using the ratio of leading coefficients when the degrees are the same. The video concludes with a brief mention of intercepts.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding vertical asymptotes of a rational function?

Factor the denominator

Factor the numerator

Set the denominator equal to one

Set the numerator equal to zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the degrees of the numerator and denominator are the same, how do you find the horizontal asymptote?

Set the numerator equal to zero

Take the ratio of the leading coefficients

Subtract the degrees

Add the coefficients

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the horizontal asymptote when the leading coefficients of the numerator and denominator are both 1?

y = 1

y = -1

y = x

y = 0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is there no slant asymptote in this example?

Because the denominator is zero

Because the numerator is zero

Because there is a horizontal asymptote

Because the degrees of the numerator and denominator are different

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next topic introduced after discussing horizontal asymptotes?

Finding vertical asymptotes

Finding slant asymptotes

Finding x and y intercepts

Finding the degree of the polynomial

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