Question

Each of the following tables defines a relationship between an input x and an output y. Which of the relationships do NOT represent functions?

Table A
x
-8
-3
0
6
y
24
4
9
72

Table B
x
9
15
24
38
y
-14
-16
53
29

Table C
x
15
24
24
100
y
-16
53
29
7

Table D
x
-8
-5
0
6
y
24
4
9
72

Answer 1

The answer is table C represnts a non funtion

Explanation:

Table A, B, D don't repeat any numbers. But Table C has Two 24's in it.

Answer 2

Table C is not a function.

Explanation:

Table A:

x y

-8 24

-3 4

0 9

6 72

Function since each element in x has a unique image.

Table B:

x y

9 -14

15 -16

24 53

38 29

Function since each element in x has a unique image.

Table C

x y

15 -16

24 53

24 29

100 7

Not a function since the element in 24 in x has two images, contradicting the definition of function.

Table D

x y

-8 24

-5 4

0 9

6 72

Function since each element in x has a unique image.