Question

which set of ordered pairs does not represent a function?
answer
\\{\\(0, -4\\), \\(3, -2\\), \\(7, -4\\), \\(-2, 2\\)\\}
\\{\\(-7, -8\\), \\(-1, 6\\), \\(-4, -4\\), \\(-9, -2\\)\\}
\\{\\(-8, 3\\), \\(-4, 2\\), \\(2, -8\\), \\(-4, 9\\)\\}
\\{\\(2, 1\\), \\(9, 1\\), \\(-6, -1\\), \\(-2, 9\\)\\}

Explanation:

Step1: Recall function definition

A function is a relation where each input (x-value) has exactly one output (y-value).

Step2: Check set 1 x-values

Check $\{(0,-4),(3,-2),(7,-4),(-2,2)\}$: x-values $0,3,7,-2$ are unique.

Step3: Check set 2 x-values

Check $\{(-7,-8),(-1,6),(-4,-4),(-9,-2)\}$: x-values $-7,-1,-4,-9$ are unique.

Step4: Check set 3 x-values

Check $\{(-8,3),(-4,2),(2,-8),(-4,9)\}$: x-value $-4$ appears twice with $y=2$ and $y=9$.

Step5: Check set 4 x-values

Check $\{(2,1),(9,1),(-6,-1),(-2,9)\}$: x-values $2,9,-6,-2$ are unique.

Answer:

$\{(-8,3),(-4,2),(2,-8),(-4,9)\}$