Hello guys, this question is kinda bothering me since I'm having trouble with one of the steps in proving it.(adsbygoogle = window.adsbygoogle || []).push({});

The question reads. Assume funciton f is continuous on an interval [0,1], such that the range of f is contained within or equal to [0,1]. Show that for a value of c contained within [0,1] there exists f(c)=c.

I know that the proof process must involve the use of Intermediate Value Theorem, but I can't seem to find a way to show that

k = c, (k is a arbitrary number contained within [0,1].

Any tips /help would be appreciated

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# Proving a fixed point on a function

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