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| − | A [[real]] [[function]] is said to have the '''intermediate value property''' on an [[interval]] <math>[a, b]</math> if, for each value <math>v</math> between <math>\displaystyle f(a)</math> and <math>f(b)</math>, there is some <math>c \in (a, b)</math> such that <math>f(c) = v</math>. Thus, a function with the intermediate value property takes all intermediate values between any two points.
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| − | The simplest, and most important, examples of functions with this property are the [[continuous function]]s.
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Latest revision as of 13:49, 28 March 2021
humpty dumpty sat on a wall. Humpty dumty took a big fall.
