Question

Construct five ordered pairs (coordinates). determine the domain and range of the set of coordinates.

Answer 1

To construct five ordered pairs, choose x-values and substitute them into an equation to find the corresponding y-values. The domain is the set of x-values, and the range is the set of y-values.

Step-by-step explanation:

1. To construct the ordered pairs, start by choosing values for x. For example, let's choose x = -2, -1, 0, 1, and 2.
2. Substitute these x-values into an equation to find the corresponding y-values. For example, if the equation is y = 2x + 3, then when x = -2, y = -1; when x = -1, y = 1; when x = 0, y = 3; when x = 1, y = 5; and when x = 2, y = 7.
3. The set of ordered pairs is (-2, -1), (-1, 1), (0, 3), (1, 5), and (2, 7).
4. The domain of the set of coordinates is the set of all x-values, which in this case is {-2, -1, 0, 1, 2}.
5. The range of the set of coordinates is the set of all y-values, which in this case is {-1, 1, 3, 5, 7}.