Question

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

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 $\{(-4,-6),(-4,-8),(0, - 3),(7,3)\}$, the input $x=-4$ has two outputs $y = - 6$ and $y=-8$, so it's not a function.

Step3: Check second set

In the set $\{(-2,1),(-3,9),(-3,-6),(8,-4)\}$, the input $x = - 3$ has two outputs $y = 9$ and $y=-6$, so it's not a function.

Step4: Check third set

In the set $\{(8,-8),(9,2),(-8,-4),(9,-9)\}$, the input $x = 9$ has two outputs $y = 2$ and $y=-9$, so it's not a function.

Step5: Check fourth set

In the set $\{(-9,0),(0,0),(-5,-2),(9,2)\}$, each input ($x=-9,0,-5,9$) has exactly one output. So it is a function.

Answer:

$\{(-9,0),(0,0),(-5,-2),(9,2)\}$