👉 In mathematics, a homotonously defined function is a function that can be defined by specifying the values of its domain and codomain in terms of other functions. In other words, it's a function that satisfies the properties of being continuous at each point in its domain. For example, consider the function f(x) = x^2, where x is in the domain of f. We can define this function as: f(x) = (x^2)^1/2 =