Types of Asymptotes

Asymptotes are fascinating lines that a curve approaches but never actually touches. They are an important concept in calculus and graph analysis. There are mainly three types of asymptotes:

• Vertical Asymptotes: These occur when a function approaches a specific x-value, and the y-values tend to infinity. Typically, they indicate a restriction in the domain.
• Horizontal Asymptotes: These are approached by functions as x-values approach positive or negative infinity. They represent the behavior of functions at extreme values.
• Oblique (or Slant) Asymptotes: These occur when the polynomial in the graph's function has a greater degree than the denominator. Unlike horizontal asymptotes, they are not straight lines parallel to the x-axis.

Interested in diving deeper into calculus concepts? Check out our Introduction to Calculus page.