Question

which set of ordered pairs represents y as a function of x? a {(5, 13), (7, 17), (9, 21), (11, 25)} b {(5, -13), (5, 17), (9, -21), (11, 25)} c {(16, -4), (8, 22), (8, 9), (4, -6)} d {(5, 13), (7, 14), (9, 15), (9, 17)}

Explanation:

Step1: Recall function definition

A relation is a function if every input (x-value) has exactly one output (y-value; no repeated x-values with different y-values).

Step2: Check Option A

All x-values: 5,7,9,11. Each x has one unique y.

Step3: Check Option B

x=5 appears twice with y=-13 and y=17 → Not a function.

Step4: Check Option C

x=8 appears twice with y=22 and y=9 → Not a function.

Step5: Check Option D

x=9 appears twice with y=15 and y=17 → Not a function.

Answer:

A. {(5, 13), (7, 17), (9, 21), (11, 25)}