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You are not logged in. #1 20060314 23:32:57
real analysis problema function f: R > R has the property that for any four real numbers a, b, c, d such that a  b > c  d, we have f(a)  f(b) > f(c)  f(d). prove that f is a linear function, ie f(x) = mx + n for all x belonging to R, where m, n belong to R and m > 0 #2 20060315 02:26:23
Re: real analysis problemAre you supposed to prove that f can be a linear function, or f has to be a linear function? Last edited by Ricky (20060315 02:28:26) "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." 