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Continuous function

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Find the values a and b that make the piecewise function continuous

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How to determine if a function is continuous and differentiable

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Functions continuous on all real numbers | Limits and continuity | AP Calculus AB | Khan Academy

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Continuous Functions

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Pre-Calculus - Where is a function continuous

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output. Otherwise, a function is said to be a discontinuous function. A continuous function with a continuous inverse function is called a homeomorphism.
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  • Real functions 

  • Continuous functions between metric spaces 

  • Continuous functions between topological spaces 

  • Related notions