Learn to find all of the asymptotes of a rational function

The video tutorial explains how to find different types of asymptotes in rational functions. It begins with an introduction to asymptotes, followed by a detailed explanation of factoring polynomials to find vertical asymptotes. The tutorial then covers horizontal asymptotes by comparing the degrees of the numerator and denominator. Finally, it discusses slant asymptotes and when they do not exist.

What is the first step in finding vertical asymptotes?

• Compare the degrees of numerator and denominator

• Factor the denominator

• Find the slant asymptote

• Set the numerator equal to zero

What happens if a factor divides out completely when finding vertical asymptotes?

• It results in a horizontal asymptote

• It results in a vertical asymptote

• It results in a hole

• It results in a slant asymptote

How do you determine the horizontal asymptote when the degree of the denominator is greater than the numerator?

• The horizontal asymptote is y = 0

• The horizontal asymptote is y = 1

• The horizontal asymptote is y = x

• There is no horizontal asymptote

What is the horizontal asymptote when the degree of the numerator is less than the degree of the denominator?

• y = 1

• y = 0

• No horizontal asymptote

• y = x

When is there no slant asymptote?

• When there is a vertical asymptote

• When there is a horizontal asymptote

• When the degrees of numerator and denominator are equal

• When the numerator is a constant