Rational Functions and Asymptotes - Hole or Vertical Asymptote (Expanded)

Level 1

This math topic focuses on rational functions and their behaviors near specific x-values. It explores whether the function exhibits a hole or a vertical asymptote at given points. Each problem provides a rational function, asking users to determine the nature of its discontinuity (if any) at a particular x-value, which involves analyzing the function's numerator and denominator and identifying common factors that affect the graph's characteristics. This practice enhances understanding of how rational functions behave and helps in visualizing their graphs.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Rational Functions and Asymptotes - Hole or Vertical Asymptote (Expanded) Worksheet