Question

# Is the following relation forms a function ? Explain.

(49,13)(61,36)(10,27)(76,52)(23,52)

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: { 13, 36 , 27, 52 , 52}

### We have given the data

As (49,13)(61,36)(10,27)(76,52)(23,52)

Domain:- { 49, 61, 10 , 76 , 23}

Co- Domain:- { 13, 36 , 27, 52 , 52}

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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