Question

1. which table of values represents a function? 5.

a.

x	6	3	2	3	4	9
y	3	2	5	3	6	4

b.

x	15	13	21	18	15	15
y	16	17	17	14	22	18

c.

x	5	3	6	8	5	9
y	2	4	8	9	1	6

d.

x	14	16	10	23	17	18
y	15	13	19	22	18	6

Explanation:

Step1: Recall function definition

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

Step2: Check Option a

$x=3$ appears twice, paired with $y=2$ and $y=3$. This violates the function definition.

Step3: Check Option b

$x=15$ appears three times, paired with $y=16$, $y=22$, and $y=18$. This violates the function definition.

Step4: Check Option c

$x=5$ appears twice, paired with $y=2$ and $y=1$. This violates the function definition.

Step5: Check Option d

All $x$-values (14, 16, 10, 23, 17, 18) are unique, so each has exactly one $y$-value. This satisfies the function definition.

Answer:

d.

x	14	16	10	23	17	18