Curve Sketching with Asymptotes - A Step by Step Example Using Calculus

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: https://youtu.be/oRUj_-qogs4 Finding Vertical Asymptotes: https://youtu.be/Fcj9g4uecEM Finding Horizontal Asymptotes: https://youtu.be/Um_aN35XcjA Finding Slant (or Oblique) Asymptotes: https://youtu.be/xkQfxNo-1V0 An Easy Way to Remember the Quotient Rule: https://youtu.be/91wFQFgBaf4 Find a derivative with the Quotient Rule: https://youtu.be/RE9dzS6-RgQ Finding a Second Derivative with the Quotient Rule: https://youtu.be/qrM3iSSbrWY Using Interval Notation: https://youtu.be/R2lSWl5gNqM If you have any questions, feel free to ask in the comments section.