Function Introduction

The special type of relation is called as a function.

A relation from A to B is called as a function A to B represented as

f: A\rightarrow B   only if, for each  a \varepsilon A , we can assign a unique  element 'b' such that b \varepsilon B

where a is called Domain element and b is called as range elements.

Some characteristics of function:

1. All the elements of the domain must have a unique image in the range.

2. It is not compulsory that all images in Range have a preimage in the domain.

3. A relation is failed to become a function if any element in domain doesn't have an image in the range.

4. A relation is failed to become a function if any element in the domain has more than one image in the range.

 

 

 Total Number of function:

let say |A| = m and |B| = n then the number of function from A to B is  n^{^{^{m}}} 

 

 

 

 

 

 

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