Define a function as a correspondence between two sets.

Question:

Define a function as a correspondence between two sets.

 

Solution:

Function as a correspondence between two sets: Let A and B be two non – empty sets. Then, a function ‘f’ from set A to set B is a correspondence (rule) which

associates elements of set A to elements of set B such that:

(i) all elements of set A are associated with an element in set B.

(ii) an element of set A is associated with a unique element in set B. 

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