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.