Question

Which graph shows a set of ordered pairs that represents a function?

On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).
On a coordinate plane, solid circles appear at the following points: (negative 5, 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).

1. thaiduong
A relation’s origin is represented as an ordered pair.
(-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2) are all ordered pairs that reflect the same function (4, 3)

### What is an ordered pair?

A composite of the x coordinate and the y coordinate, an ordered pair has two values that are stated in a defined order between parenthesis. In order to have a better understanding of what is being shown on the screen, it is helpful to identify a point on the Cartesian plane.
Either of the following conditions must be true for an ordered pair to constitute a function:
Every x-value has precisely one matching y-value, or “one-to-one.”
This is a many-to-one relationship, meaning that several x-values map to the same set of y-values.
The ordered pair is not a function if and only if both of the following are false
A one-to-many relationship means that for every x-value, there may be many y-values.
Many x-values map to many y-values; the relationship is many-to-many.
Only the ordered pair (5, -2) meets the criteria for a function out of the possibilities (5, -4), (3, 4), (2, -2), (4, 3), and (-4, -2).
This is because no x-values in its range have more than one associated y-value.
One-to-many and many-to-many ordered pairings make up the rest of the set.