Basic Theorems (IVT, MVT, and EVT)

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4 Terms

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Intermediate Value Theorem

If f(x) is continuous on [a,b] and k is between f(a) and f(b) then there exists at least one value c in [a,b] such that f(c) = k

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Mean Value Theorem

If f(x) is continuous and differential on [a,b] then there must be at least one value c in (a,b) such that such that f'c = f(b)-f(a)/b-a

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Extreme Value Theorem

If f(x) is continuous on [a,b] then it must have both an absolute maximum and minimum on [a,b}

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