Maths-

General

Easy

Question

# Is the relation shown below a function ? Explain

(4,16)(5,25)(3,9)(6,36)(2,4)(1,1)

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: { 16, 25 , 9 , 36 , 4 , 1}

### We have given the data as

(4,16)(5,25)(3,9)(6,36)(2,4)(1,1)

Domain:- { 4, 5 , 3 , 6 , 2 , 1 }

Co- Domain:- { 16, 25 , 9 , 36 , 4 , 1}

From the given data we can analyse that each element in the domain input set has exactly one output.

The members in the domain set has its square as a output in the co-domain set

Therefore, the given data is a function.

Note: All functions are relations but all relations are not functions.

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