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?
A.(–4, 2)
B.(–1, 4)
C.(1, 3)
D.(2, –3)

(1, 3)

Step-by-step explanation:

Given:

A circle with the following points on it-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function is just like a machine that gives an output for a given unique input.  No two outputs can have the same input.

The input to a function is called the domain of a given function. The output of a function is called its range.

The domain is represented by the 'x' coordinate and the range is represented by the 'y' coordinate.

So, the domain is the independent variable and range depends on the values of the domain.

Now, a relation of set of points represents a function only if all the 'x' coordinates of the set of ordered pairs are different.

Now, in the relation above, the ordered pairs (1, 1) and (1, 3) have the same input. So removing either of the two will make the relation a function.

So, the correct option is (1, 3).