Form A Graphing, Continuity, and Limits with Rational Functions

This activity is intended to help students bridge the gap between the graphing of rational functions encountered in Algebra 2 and the level of analysis expected in precalculus and calculus. (I use it in my AP Calculus courses.) Using graphical representations to investigate one-sided limits and types of discontinuity leads to a better understanding of continuity.

*Form B of this activity can be used to reinforce these concepts or as an assessment.

**Forms C and D involve polynomial division and are available in one document.