Finding the Vertical and Horizontal Asymptotes of a Functions

The video tutorial explains how to determine the vertical and horizontal asymptotes and the domain of a rational function. It emphasizes that the domain excludes values that make the denominator zero. The vertical asymptote is identified by setting the denominator to zero. Horizontal asymptotes are determined by comparing the degrees of the polynomials in the numerator and denominator, with specific rules for when the degrees are equal, less, or greater. The video also mentions that slant asymptotes will be covered in another video.

Explain the significance of the leading coefficients in finding horizontal asymptotes.

What happens when the degree of the numerator is greater than the degree of the denominator in terms of horizontal asymptotes?