Question

consider the set of ordered pairs below. choose numbers from the drop-down menus to make the data set represent a function.
{(1, -1), (2, -2), (3, 3), (choose..., -3), (choose..., 4), (choose..., 5)}

Explanation:

Step1: Recall function definition

A function is a relation where each input (x-value) has exactly one output (y-value). So no repeated x-values are allowed.

Step2: Identify used x-values

The existing x-values are 1, 2, 3.

Step3: Select valid x-values

We can choose any numbers except 1, 2, 3 for the missing x-values. For example, we can pick 4, 5, 6 (any unique numbers not already used work).

Answer:

One valid set is $\{(1, -1), (2, -2), (3, 3), (4, -3), (5, 4), (6, 5)\}$ (any unique x-values not equal to 1, 2, 3 are acceptable)