which set of ordered pairs represents a function?\n○ {(2, -2), (1, 5), (-2, 2), (1, -3), (8, -1)}\n○ {(3…

Explanation:

Step1: Recall function definition

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

Step2: Check first set

In the set ${(2, - 2),(1,5),(-2,2),(1, - 3),(8, - 1)}$, the input $x = 1$ has two outputs ($y = 5$ and $y=-3$), so it's not a function.

Step3: Check second set

In the set ${(3,-1),(7,1),(-6,-1),(9,1),(2,-1)}$, each input $x$ value ($3,7,-6,9,2$) has exactly one output $y$ - value. So it is a function.

Step4: Check third set

In the set ${(6,8),(5,2),(-2,-5),(1,-3),(-2,9)}$, the input $x=-2$ has two outputs ($y = - 5$ and $y = 9$), so it's not a function.

Step5: Check fourth set

In the set ${(-3,1),(6,3),(-3,2),(-3,-3),(1,-1)}$, the input $x=-3$ has three outputs ($y = 1,y = 2,y=-3$), so it's not a function.

Answer:

${(3,-1),(7,1),(-6,-1),(9,1),(2,-1)}$