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Intermediate Value Theorem

If $f$ is continuous on a Closed Interval $[a,b]$ and $c$ is any number between $f(a)$ and $f(b)$ inclusive, there is at least one number $x$ in the Closed Interval such that $f(x) = c$.

See also Weierstraß Intermediate Value Theorem




© 1996-9 Eric W. Weisstein
1999-05-26