MAPPING,FUNCTION, DOMAIN, CO-DOMAIN AND RANGE DEFINITION WITH EXAMPLES

 MAPPING - Each element of a given set ( the domain of the function) is associated with an element of another set (the range of the function) is called mapping. Some mappings are represent in the above structure.

Function - A function is a relation for which each value from the set the first components of the ordered pair is associated with exactly one value from the set of second components of the ordered pair. 

DOMAIN - The domain of a function f(x) is the set of all values for which the function is defined.

RANGE - The range of the functions is the set of all values that f takes.

Above we have two sets A and B where
 A = (-1, 1, 7, -5 ) ;
                                                                 
 B =  (1, 49, 50 )                                                                                                                             A                    B
here  function  f : A→ B ; A is domain and
                                   B is co-domain             
we know that Range is subset of Co-Domain.                                                                                                                   
So,
f (-1) = f (1) = 1
f (7) = 49
f (50 = 25.

In this example range = co-domain.
Range = (1, 49, 25 )

•  In given example we can see X is domain and Y is a co-domain.

We can write, Domain = (1, 2, 3 )
                     Co-domain = (1, 2, 3, 4 )
                             Range = (1, 2, 3 ).