In mathematics, a function is a relationship between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output
. A function is generally denoted by f(x), where x is the input and f(x) is the output. The general representation of a function is y = f(x)
. Every function has a domain, which is the set of all possible inputs, and a range or codomain, which is the set of all possible outputs
. Functions can be classified into various types, such as algebraic functions, trigonometric functions, and into functions
. A few examples of functions are f(x) = x^2, f(x) = sin(x), and f(x) = 1/x
. It is important to note that a function is a special type of relation where every element in the domain is included, and any input produces only one output
