Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation.

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.