which set of ordered pairs represents a function?\no {(2, -2), (1, 5), (-2, 2), (1, -3), (8, -1)}\no {(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 x - value 1 has two different y - values (5 and - 3), so it is not a function.

Step3: Check second set

In the set ${(3,-1),(7,1),(-6,-1),(9,1),(2,-1)}$, each x - value has a unique 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 x - value - 2 has two different y - values (- 5 and 9), so it is not a function.

Step5: Check fourth set

In the set ${(-3,1),(6,3),(-3,2),(-3,-3),(1,-1)}$, the x - value - 3 has three different y - values (1, 2 and - 3), so it is not a function.

Answer:

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