intermediate value theorem


intermediate value theorem

[‚in·tər′mēd·ē·ət ¦val·yü ′thir·əm] (mathematics) If ƒ(x) is a continuous real-valued function on the closed interval from a to b, then, for any y between the least upper bound and the greatest lower bound of the values of ƒ, there is an x between a and b with ƒ(x) = y.