intermediate value theorem

noun

A theorem that states for each value between the least upper bound and greatest lower bound of the image of a continuous function there is a corresponding point in its domain that the function maps to that value.

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Meanings

noun
  1. calculusA theorem that states for each value between the least upper bound and greatest lower bound of the image of a continuous function there is a corresponding point in its domain that the function maps to that value.

Translations

Catalan teorema del valor intermedi
  • teorema del valor intermedimathematical theorem
Finnish jatkuvien funktioiden väliarvolause, väliarvolause
  • jatkuvien funktioiden väliarvolausemathematical theorem
  • väliarvolausemathematical theorem
French théorème des valeurs intermédiaires
  • théorème des valeurs intermédiairesmathematical theorem
German Zwischenwertsatz
  • Zwischenwertsatzmathematical theorem
Hebrew משפט ערך הביניים
  • משפט ערך הביניים (mishpát érech habeynáim)mathematical theorem
Italian teorema dei valori intermedi
  • teorema dei valori intermedimathematical theorem
Portuguese teorema do valor intermediário, teorema do valor intermédio
  • teorema do valor intermediáriomathematical theorem
  • teorema do valor intermédiomathematical theorem
Russian теоре́ма о промежу́точном значе́нии, теоре́ма Больца́но-Коши́
  • теоре́ма о промежу́точном значе́нии (teoréma o promežútočnom značénii)mathematical theorem
  • теоре́ма Больца́но-Коши́ (teoréma Bolʹcáno-Koší)mathematical theorem
Spanish teorema del valor intermedio
  • teorema del valor intermediomathematical theorem
Cite this entry
APA

intermediate value theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/intermediate%20value%20theorem

MLA

“intermediate value theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/intermediate%20value%20theorem. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “intermediate value theorem,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/intermediate%20value%20theorem.

Source: intermediate value theorem on Wiktionary, CC BY-SA 4.0.