Given a function and its domain, how to find its range?
Suppose I am given the domain of a function and I would like to find its exact range (without approximations). I am aware that a solution for this problem involves finding the critical points by using the solve function. I am curious to see whether there are easier ways to find this, without critical points (for example by using directly another built-in function)?
Well, the range of functions in this world is very wide, it is hard to program something that should work for any picked sample out of the box. Usually a graph should give a first impression. Without a given example and a clear restriction to a concise family of function for one clear domain case - what kind of answer should be given, to be sagemath-specific?!