I recently came across a version of the Intermediate Value Theorem in "Cracking the GRE" by Princeton Review. 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?