To determine which ordered pair could be removed to make the set of ordered pairs represent a function, we need to understand that a function assigns exactly one output to each input. This means that for every x-coordinate, there must be a unique y-coordinate.
Given the points:
(-4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3)
We see that the x-coordinate 1 appears twice, with the points (1, 1) and (1, 3). For the set to represent a function, we need only one y-coordinate corresponding to the x-coordinate 1.
Thus, we can remove either (1, 1) or (1, 3) to make it a function.
So from the given options, removing (1, 3) will make the remaining set of ordered pairs represent a function.
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
(–4, 2)
(–1, 4)
(1, 3)
(2, –3)
1 answer