1. The problem statement, all variables and given/known data Define a function f:ℝ->ℝ that is increasing, bounded, and discontinuous at every integer. 2. Relevant equations 3. The attempt at a solution I've tried defining a fuction using the greatest integer function but I cannot get it to be bounded with jump discontinuities. Floor(x)*arctan(x) and variations like that are what I keep going toward.