7 min read
This study guide covers removing discontinuities in AP Calculus AB/BC. It focuses on identifying and removing removable discontinuities by factoring, canceling terms, and redefining the function. It also explains how to ensure continuity in piecewise functions by matching limits and function values at boundaries. The guide uses examples and practice problems involving both algebraic and graphical approaches to understanding continuity. Finally, it provides practice questions in multiple-choice and free-response formats.
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Question 1 of 10
Which of the following best describes a removable discontinuity? 🤔
A point where the function is undefined and the limit does not exist
A point where the function has a sudden jump in value
A point where the limit exists, but the function is either undefined or has a different value
A point where the function approaches infinity