Final answer:
To create a set of ordered pairs representing a function, the ordered pair (2, -3) could be removed.
Step-by-step explanation:
An ordered pair (x, y) represents a function if no two different x-values in the set of ordered pairs have the same y-value. To determine which ordered pair could be removed to create a set of ordered pairs representing a function, we need to check if there are any repeated x-values with different y-values.
Looking at the options:
- A. (4, 2) - This option has a unique x-value, so it does not need to be removed.
- B. (-1, 4) - This option has a unique x-value, so it does not need to be removed.
- C. (1, 3) - This option has a unique x-value, so it does not need to be removed.
- D. (2, -3) - This option has the same x-value as (0, 2) from the graph, but the y-values are different. Therefore, removing (2, -3) would create a set of ordered pairs representing a function.
Thus, option D (2, -3) could be removed to create a set of ordered pairs representing a function.