Finding the vertical and horizontal asymptote of a function

The video tutorial explains how to find the domain and identify vertical and horizontal asymptotes of a function. It covers the process of determining vertical asymptotes by finding the zeros of the denominator and explains the relationship between domain and asymptotes. The tutorial also discusses horizontal asymptotes by comparing the degrees of the numerator and denominator polynomials, providing rules for different scenarios. Graphical representations are used to illustrate these concepts.

What is the first step to find the vertical asymptote of a function?

What happens to the graph of a function as it approaches a vertical asymptote?

Explain the relationship between vertical asymptotes and the domain of a function.

How do you determine the domain of a function?

What is the significance of the horizontal asymptote in relation to the degrees of polynomials?

Describe how to find the horizontal asymptote of a rational function.

How do the leading coefficients of polynomials affect the horizontal asymptote?