1. The problem statement, all variables and given/known data Find 5 different functions f: R -> R such that (f(x))2 = x2 How many continuous functions satisfy the requirement? Justify your answer. 2. Relevant equations 3. The attempt at a solution So far I have: f(x) = x f(x) = -x f(x) = |x| Could I also have, for example, f(x) = (x2 - 5x)/(x-5) as this cancels down to f(x)= x but is undefined at 5? And I'm not sure how to answer the continuity part, so far all of the functions I have found are continuous (I think?). However, not all continuous functions satisfy it.