1. The problem statement, all variables and given/known data Find f:I->I such that each x on I shows up an infinite amount of times on f(I), f continuous 2. Relevant equations Lol , equations? 3. The attempt at a solution The weierstrauss function, I want to expand on it's fractal property and say that it crosses a given point infinite amounts of times. Confident this is right, I just don't know how I can manipulate it to stick on I, would squaring the cosine components and dividing by 2 restrict in to a proper domain?