👉 In mathematics, a regrated function is a function that can be defined on an interval but cannot have its domain be all of the real numbers. This means that for every value in the domain, there is at least one value in the range that it does not map to. For example, consider the function f(x) = x^2 + 1. The domain of this function is all real numbers except -1 and 1 (since any non-negative number squared will always be