Learn how to determine if a function is continuous and differentiable

Learn how to determine if a function is continuous and differentiable

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to check the continuity of a graph, focusing on identifying holes in piecewise functions. It highlights that a function with a hole is not continuous and therefore not differentiable. The tutorial uses graphing examples to illustrate these concepts, emphasizing the relationship between continuity, limits, and differentiability.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between limits and continuity in functions.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Why can a function that is not continuous also not be differentiable?

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