What is the domain and range of #y=x^3-x#?
The domain of a function is a "set" of all of the x-values for which there is a corresponding y-value. In this case, since we just have a simple binomial with no denominator or any way to get an undefined answer, you should be able to plug any number you want for x and get a real "y" answer. But there may be a limit to what "y" can be. Let's look at this graph.
The first (and foremost) thing to notice is the
The graph of
As you can see, the y-values don't have any sort of peak. They go off towards