Maths-

General

Easy

Question

# Which of the following relations are functions? Give reasons.

(i) {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}

(ii) {(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)}

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: {1}

### (i) We have given the data

As {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}

Domain:- { 2 , 5, 8, 11, 14, 17}

Co- Domain:- {1}

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

Therefore, the given data is a function.

All functions are relations but all relations are not functions.

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