Meaning of intermediate-value theorem

in•ter•me'di•ate-val'ue the"orem

Pronunciation: (in"tur-mē'dē-it-val'y), [key]
— Math. Math.
  1. the theorem that a function continuous between two points and having unequal values, a and b, at the two points takes on all values between a and b.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.