Learning Objective 1.2B

Learning Objective 1.2B Students will be able to determine the applicability of important calculus theorems using continuity.

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Continuity is pretty much what it sounds like. Continuous functions have curves with no breaks in them. In other words, you could take a pencil and draw a graph of the function without ever lifting your pencil. Except for a few exceptions.

EK1.2B1 Shows you the exact criteria for a function to be considered continuous.

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Essential Knowledge 1.2B1 Students will know that continuity is an essential condition for theorems such as the Intermediate Value Theorem, the Extreme Value Theorem, and the Mean Value Theorem.