Question

Suppose that the relation S is defined as follows. S={(-6,-8), (1, -8), (3, 1)} Give the domain and range of S. Write your answers using set notation.

a) {-6, 1, 3}, {-8, 1}
b) {1, 3, 5}, {-8, 1}
c) {-6, 1, 3}, {-8, -1, 1, 3, 5}
d) {1, 3, 5}, {-8, 1, 3}

Answer 1

The domain and range of the relation S = {(-6,-8), (1, -8), (3, 1)} are the sets {-6, 1, 3} and {-8, 1}, respectively, which corresponds to answer option (a).

Step-by-step explanation:

To determine the domain and range of the relation S = {(-6,-8), (1, -8), (3, 1)}, we look at the first and second elements of each ordered pair, respectively. The domain consists of all the first elements of the ordered pairs, and the range consists of the second elements.

The domain of S is {-6, 1, 3}, as these are the unique first elements in the ordered pairs. The range of S is {-8, 1} since these are the unique second elements. Therefore, using set notation, we can express the domain and range of S as:

• Domain: {-6, 1, 3}
• Range: {-8, 1}

Thus, the correct answer matching these sets is option (a) {-6, 1, 3}, {-8, 1}.