Maths-

General

Easy

Question

# Rita uses a table to record the ages and heights of the six students he tutors . Is the relation 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: function.

### We have given the two data of Age and Height.

We will convert the given data into points

As (9, 54), (10, 54) , (9, 61) , (8, 45) , (12, 65) , (8 , 50)

Domain:- { 9 , 10 , 8 , 12 }

Co- Domain:- { 54, 61, 45 , 65 , 50 }

From the given data we can analyse that the member in the domain set i.e.8 has two images i.e. 45 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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