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.