# 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 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*.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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