Question

The relation R is shown in the table below. The relation Q is given by the pairs, shown below.

Q={(-2, -3), (5, -1), (2, -1), (4, 4)}

Domain:
A) {-2, 5, 2, 4}
B) {-3, -1, 4}
C) {2, 5, 4, -2}
D) {2, 5, 4}

Range:
A) {-3, -1, 4}
B) {-2, 5, 2, 4}
C) {-2, -1, 4, 5}
D) {-3, -1, 2, 4}

Answer 1

The domain of the relation Q is {-2, 5, 2, 4}, and the range is {-3, -1, 4}.

Step-by-step explanation:

The question asks to identify the domain and range of the relation Q which is defined by the set of ordered pairs Q={(-2, -3), (5, -1), (2, -1), (4, 4)}. The domain of a relation is the set of all first elements (x-values) from each ordered pair, while the range is the set of all second elements (y-values).

• For the domain of Q, we look at the x-values: {-2, 5, 2, 4}. So, the correct option is A) {-2, 5, 2, 4}.
• For the range of Q, we consider the y-values: {-3, -1, 4}. Thus, the correct option is A) {-3, -1, 4}.