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Discontinuity

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AP Calculus AB/BC

Definition

A discontinuity occurs when there is a break or jump in the graph of a function, meaning that the function is not continuous at that point.

"Discontinuity" also found in:

Practice Questions (8)

What type of discontinuity does the function have if the left and right-handed limits are not equal?
Which type of discontinuity occurs when a function has a "hole" at a certain point?
If a function approaches closer and closer to a certain value but never reaches it, what type of discontinuity does it have?
What type of discontinuity does a function have if it is not defined at a particular point?
What type of discontinuity does the function f(x) = 1/x have at x = 0?
If the left-handed limit of a function at a certain point is 5 and the right-handed limit is 3, what type of discontinuity does the function have at that point?
What are the steps to figure out whether a function has a discontinuity?
For what value is there a discontinuity on the function f(x)= (x^2-9)/(3x^2+2x-8)?

Additional resources (1)

AP Calculus AB/BC - 2024 AP Calculus BC Exam Guide

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