A mapping  , where N is the set of natural numbers is defined as  For  Then,  is

Let  be defined by  .Then,

The mapping  given  where N is the set of natural number, is

The function  defined by  is

Let A be a set containing 10 distinct elements, then the total number of distinct function from A to A is

are two sets, and function  is defined by , then the function  is

Let  and  The number of one to one functions from A to B is

If  denotes the set of all real numbers, then the function  defined by  is

If  is defined by  for  , then  is (where C denotes the set of all complex numbers)

Let  be defined as  is

Let  defined by  , then  is

Q function  from the set of natural numbers to integers defined by  is

Let  be the set of all real numbers Then, the relation  on S is

The relation  defined on the set of natural numbers as {(a,b) a differs from b by 3} is given by

Let {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set   The relation is

Let  be a relation on the set  The relation R is

In this question, we have to find the which type of relation it is. Try to prove the all type of relation and find the which one is satisfies it.