Question

Which of the following relations has a domain of {-6, 10}? Choose all that apply.

(A) {(-6, 7), (-6, 10)}


(B) {(-6, 6), (-6, 7), (10, 12)}


(C) {(4, -6), (5, 10)}


(D) {(-6, 4), (10, 5)}

Answer 1

The correct answer options are (B) {(-6, 6), (-6, 7), (10, 12)} and (D) {(-6, 4), (10, 5)}.

Explanation:

Here, we are given the domain {-6, 10} and we are to determine which of given relations in the options has this domain.

Domain is the set made up of the first elements of each ordered pair (x, y).

For {-6, 10} to be the domain, we will check which of the options have ordered pairs that start with -6 and 10.

If we look at option (B) {(-6, 6), (-6, 7), (10, 12)} and D. {(-6, 4), (10, 5)}, the first (two) ordered pair(s) start with -6 while the last ordered pair starts with 10.

Therefore, B and D are the correct answer option.