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July 4, 2015

Homework Help: Calculus I

Posted by Kaiden on Sunday, September 18, 2011 at 12:51am.

Suppose that f and g are two functions both continuous on the
interval [a, b], and such that f(a) = g(b) = p and f(b) = g(a) = q
where p does not equal to q. Sketch typical graphs of two such functions . Then apply the intermediate value theorem to the function
h(x) = f(x) - g(x) to show that f(c) = g(c) at some point c of
(a, b).

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