Question

Which of the relations has a domain of {-5, 0, 5}? {(-5, 0), (0, 5), (1, 0)} {(-5, 5), (0, 5), (5,5)} {(0, -5), (0, 0), (0, 5)}?

Answer 1

Domain is the set of possible x values, it says that we are looking for x values that equal -5,0,5. The only set that matches this is the second one
{(-5,5),(0,5),(5,5)}

Answer 2

The relation which has a domain of {-5, 0, 5} is:

{(-5, 5), (0, 5), (5,5)}

Explanation:

Domain--

A domain is the set of all the possible x-values i.e. it is the first element of a ordered pair i.e. (x,y)

Range--

It is the set of all the y-values i.e. it is the second element in the set of the ordered pair i.e. (x,y)

a)

{(-5, 0), (0, 5), (1, 0)}

The domain of this relation is: {-5,0,1}

Range is: {0,5}

b)

{(-5, 5), (0, 5), (5,5)}

The domain of this relation is: {-5,0,5}

Range is: {5}

c)

{(0, -5), (0, 0), (0, 5)}

The domain of this relation is: {0}

Range is: {-5,0,5}