Question

which set of ordered pairs represents a function? answer {(-3,8),(-6,-1),(-6,-9),(0,1)} {(-9,-8),(4,1),(4,-4),(0,-6)} {(1,2),(-4,-2),(0,3),(0,-8)} {(2,-5),(6,-5),(-1,7),(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 each set

For $\{(-3,8),(-6, - 1),(-6,-9),(0,1)\}$, the input $x=-6$ has two outputs ($y = - 1$ and $y=-9$), so it's not a function.
For $\{(-9,-8),(4,1),(4,-4),(0,-6)\}$, the input $x = 4$ has two outputs ($y = 1$ and $y=-4$), so it's not a function.
For $\{(1,2),(-4,-2),(0,3),(0,-8)\}$, the input $x = 0$ has two outputs ($y = 3$ and $y=-8$), so it's not a function.
For $\{(2,-5),(6,-5),(-1,7),(7,-1)\}$, each input has a unique output.

Answer:

$\{(2,-5),(6,-5),(-1,7),(7,-1)\}$