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

Answer:

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

Explanation:

Step1: Recall function definition

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

Step2: Check option A

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

Step3: Check option B

In ${(3,-1),(7,1),(-6,-1),(9,1),(2,-1)}$, each x - value has a unique y - value, so it is a function.

Step4: Check option C

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

Step5: Check option D

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