I recently came across a version of the Intermediate Value Theorem in "Cracking the GRE" by Princeton Review.(adsbygoogle = window.adsbygoogle || []).push({});

Intermediate Value Theorem :

f is a real function continuous on a closed interval [a,b].

Let m be the absolute minimum of f on [a,b] and M be the absolute maximum.

Then for all Y s.y. m < or = Y < or = M, there exists a c in [a,b] s.t. f(c) = Y.

The one that I am familiar with says Y lies between f(a) and f(b) instead of the absolute min and absolute max. Is this version also correct?

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# Intermediate Value Theorem : Is this version correct?

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