Graphing a rational function with a slant asymptote

The video tutorial explains how to graph rational functions by identifying critical points, vertical and horizontal asymptotes, and intercepts. It covers the rules for determining asymptotes, including vertical, horizontal, and slant asymptotes, and demonstrates how to find X and Y intercepts. The tutorial also provides techniques for plotting points and graphing the function while considering the behavior of the graph near asymptotes.

What is the relationship between the degrees of the numerator and denominator in determining horizontal asymptotes?

What does it mean if a graph crosses a horizontal or slant asymptote?

Explain the importance of evaluating points around asymptotes when graphing.

How do you graph a rational function given its asymptotes and intercepts?