Vertical and Horizontal asymptotes of a rational function

The video tutorial explains how to find vertical and horizontal asymptotes in rational functions. It begins with factoring the denominator to identify vertical asymptotes and setting them to zero. The tutorial then covers horizontal asymptotes, focusing on comparing the degrees of the numerator and denominator and using leading coefficients. The video concludes with a brief mention of potential holes in the graph and hints at further problem-solving examples.

What steps should be taken if the numerator cannot be factored when finding asymptotes?

What are vertical asymptotes and how can they be determined?

Explain the process of finding horizontal asymptotes based on the degrees of the numerator and denominator.

What is the significance of the leading coefficients in determining horizontal asymptotes?

Describe the difference between a vertical asymptote and a hole in a function.