Question

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

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

For the set $\{(1,0),(-3,-6),(6,3),(-5,0)\}$, each x - value ($1,-3,6,-5$) has a unique y - value.

Step3: Check second set

In the set $\{(6,1),(0,8),(8, - 5),(0,-9)\}$, the x - value $0$ has two different y - values ($8$ and $-9$), so it's not a function.

Step4: Check third set

In the set $\{(-5,2),(-9,-2),(-5,6),(0,2)\}$, the x - value $-5$ has two different y - values ($2$ and $6$), so it's not a function.

Step5: Check fourth set

In the set $\{(-4,-6),(-4,2),(4,-1),(2,9)\}$, the x - value $-4$ has two different y - values ($-6$ and $2$), so it's not a function.

Answer:

$\{(1,0),(-3,-6),(6,3),(-5,0)\}$