Question

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

Explanation:

Step1: Recall function definition

A function has no repeated x - values.

Step2: Check first set

In $\{(6, - 7),(6,7),(5,9),(0, - 7)\}$, x = 6 is repeated, so it's not a function.

Step3: Check second set

In $\{(-8,-3),(4, - 9),(-5,7),(8,-3)\}$, no x - values are repeated, so it is a function.

Step4: Check third set

In $\{(3,8),(4, - 5),(4, - 1),(-4,6)\}$, x = 4 is repeated, so it's not a function.

Step5: Check fourth set

In $\{(-3,5),(-3,6),(3, - 1),(8,4)\}$, x = - 3 is repeated, so it's not a function.

Answer:

$\{(-8,-3),(4, - 9),(-5,7),(8,-3)\}$