This video describes four steps that can be used to draw the graph of a rational function. An example function with both vertical and horizontal asymptotes is then graphed using the four steps.

To graph a rational function you need to know how to apply the quotient rule, have an understanding of asymptotes, and know how to express intervals using interval notation. More information about these topics can be found below:

Types of Asymptotes:    • Calculus - Curve Sketching - Types of...  
Finding Vertical Asymptotes:    • Calculus - Finding Vertical Asymptotes  
Finding Horizontal Asymptotes:    • Calculus - Finding Horizontal Asymptotes  
Finding Slant (or Oblique) Asymptotes:    • Calculus - Finding Slant (Oblique) As...  
An Easy Way to Remember the Quotient Rule:    • The Quotient Rule Rhyme - An Easy Way...  
Find a derivative with the Quotient Rule:    • Calculus - Using the Quotient Rule to...  
Finding a Second Derivative with the Quotient Rule:    • Calculus - Finding the Second Derivat...  
Using Interval Notation:    • Interval Notation  

If you have any questions, feel free to ask in the comments section.