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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