Finding the vertical and horizontal asymptotes

The video tutorial explains rational functions, focusing on identifying horizontal and vertical asymptotes. It begins by defining rational functions and their components, such as the numerator and denominator polynomials. The instructor then demonstrates how to apply the horizontal asymptote test by comparing the degrees of the polynomials. The horizontal asymptote is determined to be y=0 when the degree of the numerator is less than that of the denominator. For vertical asymptotes, the video emphasizes the importance of simplifying expressions and using the zero product property to find values that make the denominator zero, which are potential vertical asymptotes.

What are the degrees of the polynomials in the numerator and denominator?

How do you determine the horizontal asymptote of a rational function?

What values make the denominator equal to zero, and why are they important?

Explain the process of simplifying a rational expression before finding vertical asymptotes.

What is the significance of the zero product property in finding vertical asymptotes?