Math Functions: Relations Between Inputs And Outputs

Function

a relation in which each element of one set is assigned to exactly one element of another set.

In mathematics, a function is a relation between a set of inputs (also known as the domain) and a set of possible outputs (also known as the codomain). It associates each input value with exactly one output value. A function can be represented graphically and algebraically.

For example, the function f(x)=2x represents a relation where each input value (x) is multiplied by 2 to obtain the corresponding output value (f(x)). So if x=1, then f(1)=2(1)=2. The domain of this function is all real numbers and the codomain is all real numbers greater than or equal to 0.

Functions are used in a wide range of mathematical applications, such as modeling data, solving equations, and analyzing patterns. They are also used in everyday life, such as in calculating prices based on a discount rate, predicting the outcome of a sporting event, and designing computer programs.

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