Question
Define a function as a correspondence between two sets.

Answer

Function: Let $A$ and $B$ be two non$-$empty sets. Then a function $'f\ '$ from set $A$ to swt $B$ is a rule or method or correspondence which associates element of set $A$ to elements of set $b$ such that,
  1. All elements of set $A$ are associated to element in set $B.$
  2. An element of se $A$ is associated to a unique element in set $B.$
In other words, a function $'f\ '$ from a set a to set $B$ associates each element of set $A$ to a unique element of set $b.$

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