Question

which set of ordered pairs does not represent a function? answer \\(\\{(-2,5),(-4,6),(1,2),(6,5)\\}\\) \\(\\{(-7,-5),(-9,4),(9,4),(1,-6)\\}\\) \\(\\{(5,-6),(5,9),(0,3),(-7,-9)\\}\\) \\(\\{(5,2),(-1,-1),(-8,-1),(-7,1)\\}\\)

Explanation:

Step1: Recall function definition

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

Step2: Check x-values in Option 1

All x-values: $-2, -4, 1, 6$ are unique.

Step3: Check x-values in Option 2

All x-values: $-7, -9, 9, 1$ are unique.

Step4: Check x-values in Option 3

x-value $5$ appears twice, paired with $-6$ and $9$.

Step5: Check x-values in Option 4

All x-values: $5, -1, -8, -7$ are unique.

Answer:

$\{(5, -6), (5, 9), (0, 3), (-7, -9)\}$