Find all such that is uniformly continuous,

I can checkifa certain function is uniformly continuous, but I don't know how to checkfor what valuesit is uniformly continuous.

Please, help.

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- January 8th 2013, 09:59 AMwilhelmFind all values of k for which f is uniformly continuous
Find all such that is uniformly continuous,

I can check__if__a certain function is uniformly continuous, but I don't know how to check__for what values__it is uniformly continuous.

Please, help. - January 9th 2013, 08:30 AMjohngRe: Find all values of k for which f is uniformly continuous
The answer is all k in the closed interval [0,1]. Informally, the reasoning is as follows. For k > 1, and large values of x the derivative is quite large and so a small change in x values produces large change in the function values. Similarly for k < 0 and x values close to 0. For k between 0 and 1, the function is well behaved on [0,1] and its graph gets quite flat for large values of x.

Here is "2/3" of the actual proof:

Attachment 26521