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Functions are relations where each input has a particular output. This lesson covers the concepts of functions in Mathematics and the different types of functions using various examples for better understanding. Functions are an important part of discrete mathematics. This article is all about functions , their types, and other details of functions . A function assigns exactly one element of a set to each element of the other set. Functions are the rules that assign one input to one output. The function can be represented as f: A ⇢ B. A is called the domain of the function and B is called the codomain function . What are Functions in Programming? Functions in Programming is a block of code that encapsulates a specific task or related group of tasks. Functions are defined by a name, may have parameters and may return a value. The main idea behind functions is to take a large program, break it into smaller, more manageable pieces (or functions ), each of which accomplishes a specific task. Learn what a function is in math, how to represent it, and how to identify and classify it. A function is a rule that assigns a unique output to each input from a set of values.