Question

Give the domain and range.

a. domain: {1, -1, -3}, range: {-2, 0, 2}
b. domain: {1, -1, -3), range: {2, 0, 2}
c. domain: {2, 0, 2), range: {1, -1, -3}
d. domain: (-2, 0, 2), range: {1, -1, -3} G.​

Answer 1

The domain: {-2, 0, 2}

The range: {1, -1, -3}

Hence, option (d) is correct.

Explanation:

Given the points on the coordinate plane

• (-2, 1)

• (0, -1)

• (2, -3)

We know that an ordered pair (x, y) is a composition of the x-coordinate and y-coordinate.

Let us determine the table from the ordered pairs on the coordinate plane.

x y

-2 1

0 -1

2 -3

We know that the domain of a relation is the set of all the input or x-values of the set X.

From the table, it is clear that the x=-2, x=0 and x=2 are x-values.

Thus, the domain: {-2, 0, 2}

We know that the range of a relation is the set of all the output or y-values of the set Y.

From the table, it is clear that the y=1, y=-1, and y=-3 are x-values.

Thus, the range: {1, -1, -3}

Hence, option (d) is correct.