Question

select all that apply. which set of ordered pairs represent a function? some pairs may share. {(-4,-8),(-5,1),(-2,5),(6,-3)} {(6,8),(-10,9),(-3,-10),(-7,0)} {(-3,-1),(-9,-1),(3,4),(-4,-8)} {(-6,-5),(10,6),(-3,5),(10,0)} none of the above

Explanation:

Step1: Recall function definition

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

Step2: Check first set

Set: $\{(-4, -8), (-5, 1), (-3, 5), (6, -3)\}$
All x-values ($-4, -5, -3, 6$) are unique. So this is a function.

Step3: Check second set

Set: $\{(8,8), (-10,9), (-3,-10), (-7,0)\}$
All x-values ($8, -10, -3, -7$) are unique. So this is a function.

Step4: Check third set

Set: $\{(-3,-1), (-9,-1), (3,4), (-4,-8)\}$
All x-values ($-3, -9, 3, -4$) are unique. Repeating y-values do not violate the function rule. So this is a function.

Step5: Check fourth set

Set: $\{(-6,-5), (10,6), (-3,5), (19,0)\}$
All x-values ($-6, 10, -3, 19$) are unique. So this is a function.

Answer:

$\{(-4, -8), (-5, 1), (-3, 5), (6, -3)\}$
$\{(8,8), (-10,9), (-3,-10), (-7,0)\}$
$\{(-3,-1), (-9,-1), (3,4), (-4,-8)\}$
$\{(-6,-5), (10,6), (-3,5), (19,0)\}$