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Learn the definition, types and examples of functions in maths. A function is a relation between inputs and outputs where each input has exactly one output. 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. Functions are defined as the relations which give a particular output for a particular input value. A function has a domain and codomain (range). f (x) usually denotes a function where x is the input of the function . In general, a function is written as y = f (x). A function is a relation between two sets set A and set B. A function in math is like a machine that takes an input, does something to it, and gives a specific output. For each input, there’s exactly one output. It’s a rule that connects each input to one and only one result. Functions are fundamental in fields like algebra and calculus. They help model relationships and solve real-world problems. Here is how we represent the function , f (x) = y [Here, f () is a function , x is the input, and y is the corresponding output.] If we collect, all ...