intermediate value theorem

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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 fromatob, then, for anyybetween the least upper bound and the greatest lower bound of the values of ƒ, there is anxbetweenaandbwith ƒ(x) =y.

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