Question

question
which set of ordered pairs does not represent a function?
answer
{(-1, -5), (5, 7), (-3, 4), (-3, 9)} {(-9, -6), (1, 5), (-1, 3), (5, 5)}
{(2, -5), (-9, 9), (6, 0), (3, 9)} {(4, 0), (2, -6), (5, 0), (0, 5)}

Explanation:

Step1: Recall function definition

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

Step2: Check each set for repeated x-values

• For $\{(-1,-5),(5,7),(-3,4),(-3,9)\}$: The x-value $-3$ maps to both $4$ and $9$.
• For $\{(-9,-6),(1,5),(-1,3),(5,5)\}$: All x-values are unique.
• For $\{(2,-5),(-9,9),(6,0),(3,9)\}$: All x-values are unique.
• For $\{(4,0),(2,-6),(5,0),(0,5)\}$: All x-values are unique.

Answer:

$\{(-1,-5),(5,7),(-3,4),(-3,9)\}$