Define a function as a set of ordered pairs.

A function from is defined by a set of ordered pairs such that any two ordered pairs should not have the same first component and the different second component.

This means that each element of a set, say X is assigned exactly to one element of another set, say Y.

The set X containing the first components of a function is called the domain of the function.

The set Y containing the second components of a function is called the range of the function.

For example, f = {(a, 1), (b, 2), (c, 3)} is a function.

Domain of f = {a, b, c}

Range of f = {1, 2, 3}

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