Asymptote Analyzer

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About This MicroSim

Move your mouse over the graph to trace the function. Watch how the function "blows up" near vertical asymptotes and approaches (but never reaches) horizontal asymptotes!

Lesson Plan

Learning Objective: Students will interpret the relationship between rational function formulas and their asymptotes.

Key Insight: Vertical asymptotes occur where the denominator equals zero. The function gets infinitely large as it approaches from either side!