1. The problem statement, all variables and given/known data Is the function |x^3-1| one to one? Is it monotonous? 2. Relevant equations 3. The attempt at a solution Since |x^3-1|=|y^3-1| does not necessarily imply that x=y for every x and y, I presume it is not one to one. Hence it has no inverse function. It is also not monotonous. Are all these statements correct?