What is the domain of the relation below?

Is the relation a function?

{ (-5, 2), (7, 7), (3,6), (1, 7) }

A domain: {-5, 1, 7}; Yes, it is a function

B domain: {-5, 1, 3, 7}; No, it is not a function

C domain: {-5, 1, 3, 7); Yes, it is a function

D domain: {2, 6, 7); Yes, it is a function

E domain: {2, 6, 7}; No, it is not a function

Option C

Domain: {-5, 1, 3, 7); Yes, it is a function

Solution:

The given relation is : -

{ (-5, 2), (7, 7), (3,6), (1, 7) }

It is of form (x, y)

The domain is the set of all the values of "x". The range is the set of all the values of "y"

We need to find domain : -

The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Domain is the set of "x" values, in the given relation these are:-

Domain is : - { - 5, 7, 3, 1}

And Range is : - {2, 7, 6, 7}

Since there is one value of y for every value of "x"

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.

Hence, the relation is a function

The option C) is correct