Find the asymptotes and intercepts of a rational function

The video tutorial covers the concept of asymptotes and polynomial division. It begins with an introduction to asymptotes and the process of dividing polynomials using long division. The instructor explains how to handle remainders and rewrite quotients. The tutorial then focuses on identifying vertical and horizontal asymptotes and finding X and Y intercepts using shortcuts. The video emphasizes understanding the mathematical processes and provides practical examples to illustrate the concepts.

Describe the transformations that affect the horizontal asymptote.

How can you simplify the process of finding the X intercept?

What is the relationship between the numerator and the X intercept?