## Posts Tagged ‘One-one Function’

## What is function and type of Functions

**What is function?** **Function (mathematics)** is defined as if each element of set A is connected with the elements of set B, it is not compulsory that all elements of set B are connected; we call this relation as function.

f: A → B ( f is a function from A to B )

**Types of function:**

**One-one Function or Injective Function :**If each elements of set A is connected with different elements of set B, then we call this function as One-one function.**Many-one Function :**If any two or more elements of set A are connected with a single element of set B, then we call this function as Many one function.**Onto function or Surjective function :**Function f from set A to set B is onto function if each element of set B is connected with set of A elements.**Into Function :**Function f from set A to set B is Into function if at least set B has a element which is not connected with any of the element of set A.**One-one Onto Function or Bijective function :**Function f from set A to set B is One one Onto function if(a) f is One one function(b) f is Onto function.