Make XY tables for each option.
If any of the Tables have identical X numbers it is not a function.
The first option has two X's that re 2, so is not a function.
Second option has 2 x's that are 4's, so is not a function.
The third option has no repeating X values so is a function.
The fourth option has two -2's and two 0's so ids not a function.
The function is the third choice:
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).
Answer: On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).
Step-by-step explanation:
A function is a relation in which only one output value is associated with each input variable .
In coordinate - plane , we denote x= independent variable or as input value.
y= dependent variable or output value.
The first option is not a function because there are 2 output values corresponding to one input value (2, negative 1) and (2, negative 3).
The second option is not a function because there are 2 output values corresponding to one input value (4, negative 3) ,(4, 4).
The fourth option is not a function because there are 2 output values corresponding to one input value  (negative 2, 1), (negative 2, negative 1) .
Only in third option , only one output value is associated with each input variable .
Therefore , the correct answer is "On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1)."
