Question

# Is the relation shown in the table 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: { 1 , 2, 3 , 4 ,3 }

### We have given the data in the tabular format

We will convert it into point format

As (2 , 1) , (4, 2) , (6, 3) , (8, 4) , (10, 3)

Domain:- { 2, 4 , 6 , 8 , 10}

Co- Domain:- { 1 , 2, 3 , 4 ,3 }

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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