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

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  

c

step-by-step explanation: