Determine the horizontal asymptotes

The video tutorial reviews rational functions, focusing on finding vertical and horizontal asymptotes. It explains the importance of polynomial degrees and how they determine the horizontal asymptote. The tutorial covers three scenarios: when the degree of the numerator is less than, equal to, or greater than the degree of the denominator. It also discusses the behavior of graphs in relation to horizontal asymptotes, emphasizing that the graph approaches the asymptote as it moves towards infinity.

What are the steps to find the vertical and horizontal asymptotes of a rational function?

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

Explain the significance of the degree of polynomials in determining horizontal asymptotes.

How does the leading coefficient affect the horizontal asymptote when the degrees of the numerator and denominator are equal?

Describe the conditions under which a rational function does not have a horizontal asymptote.