Question

What are the domain and range of the relation (–4, 2), (0, 1), (0, 5), (8, 10)?

A.

Domain: {2, 1, 5, 10}; Range: {–4, 0, 8}






B.

Domain: {–4, 0, 5, 10}; Range: {2, 1, 8}






C.

Domain: {–4, 0, 8}; Range: {2, 1, 5, 10}






D.

Domain: {–4, 2, 0, 1, 5, 8, 10}; Range: {–4, 2, 0, 1, 5, 8, 10}

Answer 1

C.

Domain: {–4, 0, 8}; Range: {2, 1, 5, 10}

In the domain, there can only be values for which is possible for.
Like There is no 5 for the domain, because there is no x like that.

Hope this helps :)

Answer 2

The correct option is C. Domain: {–4, 0, 8}; Range: {2, 1, 5, 10}

Explanation:

The relation is given to be : (–4, 2), (0, 1), (0, 5), (8, 10)

Domain is defined as the set of all points of the input set of the relation.

Set of input is the collection of all the x- coordinates of the relation.

x - coordinates of the relation are : -4 , 0 , 8

Thus, Domain : { -4 , 0 , 8}

Range is defined as the set of all points of the output set of the relation.

Set of output is the collection of all the y-coordinates of the relation.

y-coordinates of the relation are : 2 , 1 , 5 , 10

Thus, Range : { 2 , 1 , 5 , 10 }

Therefore, The correct option is C. Domain: {–4, 0, 8}; Range: {2, 1, 5, 10}