👉 A function utilities is a type of utility function in mathematical analysis. It's used to quantify the performance of a function and its efficiency, especially when dealing with functions that are not continuous or even differentiable at certain points. Functions that have an explicit representation as a function (e.g., the absolute value function) and are defined on an interval can be considered utilities. In essence, utility functions measure how well a function performs relative to a given set of criteria or conditions. They provide a way to