Maths-
General
Easy

Question

Is the relation shown below a function ? Explain

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: { 10, 20, 30 , 40 , 50 }


    We have given the data in the arrow diagram format.
    We will convert the given data into points
    As (5, 10), (10, 20) , (15, 30) , (20, 40) , (20, 50)
    Domain:-  { 5 , 10 , 15 , 20 }
    Co- Domain:- { 10, 20, 30 , 40 , 50 }
    From the given data we can analyse that the member in the domain set i.e.20 has two images i.e. 40 and 50 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.

    All functions are relations but all relations are not functions.

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