Maths-
General
Easy
Question
Is the relation shown below a function ? Explain
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: { 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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