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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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