Identify Asymptotes and intercepts of Rational Function

The video tutorial covers the concept of asymptotes in rational functions, focusing on horizontal, vertical, and slant asymptotes. It explains how to determine the existence of these asymptotes based on the degrees of the numerator and denominator. The tutorial also discusses the possibility of holes in the graph and provides a detailed walkthrough of using long division to find slant asymptotes. The importance of the quotient in determining the slant asymptote is highlighted, and the video concludes with a brief overview of finding x and y intercepts.

Describe the significance of the remainder in polynomial long division when finding the slant asymptote.

How do you find the x-intercept and y-intercept of a function?