Question

# Does the relation { (-5,-3)(7,2)(3,8)(3,-8)(5,10)} represent a function ? Use the arrow diagram . Then explain your answer

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: {-3 , 2 , 8 ,-8 ,10}

### We have given the set of ordered pairs { (-5,-3)(7,2)(3,8)(3,-8)(5,10)}

Domain :- {-5, 7 , 3, 5}

Co- domain :- {-3 , 2 , 8 ,-8 ,10}

a) Arrow diagram of the given data is

b) From the given data we can analyse that the member in the domain set i.e. 3 has two images i.e. 8 and -8 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.

b) From the given data we can analyse that the member in the domain set i.e. 3 has two images i.e. 8 and -8 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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