Maths-
General
Easy

Question

For the given relation, find domain and range. Does it represent a function?
{(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}

hintHint:

An ordered pair is represented as (INPUT, OUTPUT)
A function from set A to the set B is a relation which associates every element of a set A to unique element of set B.
 

The correct answer is: Therefore, the given relation is not a function.


    We have given the data

    {(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}
    We have to find domain ,range

    Domain:-  {  1, 5, 7, 2, 8, 3}

    Range :- {8, 3, 6, 2, 4, 9, 7 }
    From the given data we can analyze that the member in the domain set i.e.5 has two images i.e. 3 and 7 in the co-domain .
    We know that in a function one member in the domain set cannot have two images in the co-domain set.
    Therefore, the given relation is not a function.
    Note: All functions are relations but all relations are not functions.

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