Maths-
General
Easy

Question

Is the following ordered pairs forms a function ?
(54,9)( 54, 10 )(61,17) (45, 10)(65,11) (50 , 12)

Hint:

 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: { 9, 10,17 , 11,12 }


    We have given the data in the form of ordered pairs.
    We will convert the given data into points
    As (54, 9), (54, 10) , (61, 17) , (45, 10) , (65, 11) , (50 , 12)
    Domain:-  { 54 , 61 ,45, 65 , 50 }
    Co- Domain:- { 9, 10,17 , 11,12 }
    From the given data we can analyse that the member in the domain set i.e.54 has two images i.e. 9 and 10 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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