Find the Slant and Vertical Asymptotes of a Rational Function

The video tutorial covers the concept of asymptotes in rational functions, focusing on vertical, horizontal, and slant asymptotes. It explains how to determine vertical asymptotes by setting the denominator to zero and discusses the conditions for horizontal and slant asymptotes based on the degrees of the numerator and denominator. The tutorial also demonstrates using long division to find slant asymptotes and corrects a mistake in the process. The lesson concludes with a brief mention of finding intercepts.

What is the vertical asymptote of a function if the denominator is set to zero and equals -2?

• x = 2

• x = -2

• y = 2

• y = -2

When the degree of the numerator is greater than the degree of the denominator, what type of asymptote is present?

• No asymptote

• Vertical asymptote

• Horizontal asymptote

• Slant asymptote

How do you find the slant asymptote of a rational function?

• By setting the denominator to zero

• By factoring the numerator

• By performing long division on the polynomials

• By comparing the degrees of numerator and denominator

What is the slant asymptote if the quotient of the long division is y = x?

• y = 0

• y = x

• x = 0

• x = y

Does the remainder affect the slant asymptote when performing long division?

• No, it does not affect the asymptote

• No, only if it's a negative remainder

• Yes, it changes the asymptote

• Yes, only if it's a positive remainder