



 
A, The Intermediate Value Theorem states that
In your case since you are looking for roots you want q = 0 so the conclusion is that there is a number p so that f(p) = 0 and thus p is a root. Thus you need numbers a and b so that f(a) < 0 < f(b). But for the function f(x) = x^{2} there is no number a so that f(a) = a^{2} < 0. Thus the Intermediate Value Theorem doesn't apply to this situation. Harley  


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