Understanding how rational functions behave near their vertical asymptotes
In short: This video demonstrates how to analyze the behavior of a rational function as it approaches an undefined point. It is an essential skill for mastering limits in AP Calculus.
The lesson focuses on the function f(x) = -1 / (x - 1) and examines its behavior around the vertical asymptote at x = 1. By observing how the output values change as the input approaches this value, students learn to identify whether the function trends toward positive or negative infinity.
The content was developed by Bill Scott, a member of the teaching team that helped create Khan Academy’s AP lessons. It serves as a foundational guide for students preparing for AP Calculus AB exams.
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Sources
- Summary by Intellect · source: Analyzing unbounded limits: rational function | AP Calculus AB | Khan Academy
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