Section 2.3 Rational Functions

Asymptotes and Holes

Definition of a Rational Function:

Definition of a Vertical Asymptote:

Definition of a Horizontal Asymptote:

Finding Vertical Asymptotes, Horizontal Asymptotes, and Holes:

Example:

Solution:

Solution:

Solution:

Example:

Solution:

Definition of a Slant Asymptote:

Example:

Solution:

Note: For a review of polynomial long division, please refer to Appendix A.2: Dividing Polynomials .