"Let f:[a,b]->[a,b] be a continuous function. Prove that there exists some point x in [a,b] such that f(x)=x."

Is it possible to do this WITHOUT using the intermediate value theorem?

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- Dec 13th 2005, 04:29 PMTreadstone 71Identity at some point
"Let f:[a,b]->[a,b] be a continuous function. Prove that there exists some point x in [a,b] such that f(x)=x."

Is it possible to do this WITHOUT using the intermediate value theorem? - Dec 13th 2005, 05:16 PMJamesonQuote:

Originally Posted by**Treadstone 71**