Prove: If f(x) is a continuous function on a closed interval [a, b] and x_{1}, x_{2}, ..., x_{n}are n points in the interval, then there exists c such that:

Any ideas?

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- Jul 11th 2012, 02:52 AMloui1410Continuity
Prove: If f(x) is a continuous function on a closed interval [a, b] and x

_{1}, x_{2}, ..., x_{n}are n points in the interval, then there exists c such that:

Any ideas? - Jul 11th 2012, 03:52 AMgirdavRe: Continuity
Hint: intermediate value theorem, showing that the average of is between and .

- Jul 11th 2012, 03:52 AMPlatoRe: Continuity