(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose f:[a,b] [tex]\rightarrow[/tex] [a,b] is continuous. Prove that there is at least one fixed point in [a,b] - that is, x such that f(x) = x.

2. Relevant equations

3. The attempt at a solution

I was going to try something with the IVT, but then I realized I wasn't sure what they meant by a fixed point much less how to solve this problem. Any help would be appretiated.

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# Homework Help: Fixed Point in Continuous Set

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