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Meaning of continuous function

Source language: EnglishDictionary language: English

continuous

Pronunciation:/kənˈtɪn.juː.əs/

adjective

Definitions

  1. Without stopping; without a break, cessation, or interruption

    Example: a continuous current of electricity

    Synonyms:nonstopperpetual
  2. Without intervening space; continued

    Example: a continuous line of railroad

    Synonyms:extendedprotracted
  3. Not deviating or varying from uniformity; not interrupted; not joined or articulated.

  4. (of a function) Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.