Multiple Examples on determining the asymptotes of rational functions

The video tutorial covers rational functions, focusing on graphing techniques, reciprocal functions, and the role of polynomials in rational functions. It explains discontinuities, including vertical asymptotes and holes, and delves into horizontal and oblique asymptotes. The tutorial emphasizes the importance of understanding the degree and leading coefficient of polynomials in these contexts.

How can you identify a removable discontinuity in a rational function?

What is the role of long division in analyzing rational functions?

Explain how to graph a rational function with a hole.

What is an oblique asymptote and when does it occur?