Question

Suppose that the relation S is defined as follows:

S={(−9,−9),(−2,−7),(−2,7)}. Give the domain and range of S. Write your answers using set notation.

a. Domain: {−9,−2}, Range: {-9, -7, 7}

b. Domain: {-9, -2}, Range: {-9, -7, 7}

c. Domain: {-9, -2}, Range: {-9, 7}

d. None of these

Answer 1

The domain of relation S is {−9,−2}, and the range is {−9,−7,7}, corresponding to option (b).

Step-by-step explanation:

The question asks to determine the domain and range of the relation S where S is given as S={(−9,−9),(−2,−7),(−2,7)}. The domain of a relation is the set of all possible first elements from the ordered pairs, while the range is the set of all possible second elements.

For the given set, the domain is composed of the numbers −9 and −2. Therefore, the domain is {−9,−2}. The range, on the other hand, includes the numbers −9, −7, and 7, making the range {−9,−7,7}. This matches option (b).