Education Technology

Precalculus: Exploring Vertical Asymptotes

by Texas Instruments

About the Lesson

This lesson involves observing how changing the values in a rational function affects the continuity of the graph of the function.
As a result, students will:

  • Manipulate the factors of the numerator and denominator to observe the effects of each value.
  • Explain how the values in a rational function determine the vertical asymptotes.
  • Identify the conditions that must be met for a rational function to have removable discontinuity.

*Note: This activity contains an optional AP Practice Questions document for those students preparing for the AP Precalculus Exam.