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Definition of Function

Function is a relation between output and input. Output depents upon input. As the input of a function changes the output also changes.Let a function is f(a)=b then a is the input and b is the output. Set of all input is domain and set of all output is range or co-domain. Function is defined as follows, Function is a relation between domain and range. Considering two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a function.

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