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### 7 Cards in this Set

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 Intermediate Value Theorem Let f(x) be continuous on the interval (a,b). If K is any number between f(a) and f(b) then there is at least one number c in (a,b) such that f(c)=K The Extreme Value Theorem If f(x) is continuous on (a,b) then f(x) has both a global maximum and a global minimum at points in (a,b). Local Extrema Test If f(x) is defined on an interval and if f(x) has either a local maximum or a local minimum at a point c which is not an endpoint of the interval, then either f'(c)=0 or f'(c) does not exist. The Differntialbility-Continuity Thm If f'(c) exists, then f(x) is continuous at x=c. Mean Value Thm If f(x) is continuous on (a,b) and differntiable on (a,b) then there exists a number c, with a