Which of the following sets does NOT represent a functional relationship?

A. {(−1, 4), (−1, −3), (0, −5), (2, −7)}
Correct! This is not a functional relationship because there are 2 y-values for 1 x-value.

B. {(−2, 4), (−1, 1), (1, 1), (2, 4)}
Incorrect. This is not a functional relationship since each x-value has exactly 1 y-value.

C.  {(−5, −5), (−4, −4), (−1, −1), (1, 1)}
Incorrect. This is a functional relationship since each x-value has exactly 1 y-value.

D. {(−6, 7), (−4, 7), (0, 7), (5, 7)}
Incorrect. This is a functional relationship since each x-value has exactly 1 y-value.

Which of the following mappings represents a functional relationship?

 
 

A.
Incorrect. This is not a functional relationship since the x-value "-1" has two y-values "-2 and 2".

B.
Correct! This is a functional relationship since there is only one x-value for the y-value.

C.
Incorrect. This is not a functional relationship since the x-value “–1” has 2 y-values “1 and –1.”.

D.
Incorrect. This is not a functional relationship since the x-value “–4” has many different y-values.


Which table of values represents a functional relationship?

A

x

y

25

5

25

–5

9

3

9

–3

1

1
 

B

x

y

–4

8

–3

6

–7

14

–1

2

–7

16

 

    

C

x

y

1

6

1

8

1

10

1

12

1

14
 

D

x

y

3

–10

7

–10

0

–10

–1

–10

–5

–10
 

 

 

A.
Incorrect. This is not a functional relationship since the x-value "2" has 2 y-values "5 and -5".

B.
Incorrect. This is not a functional relationship since the x-value "-7" has 2 y-values "14 and 16".

C.
Incorrect. This is not a functional relationship since the x-value "1" has many different y-values.

D.
Correct! This is a functional relationship since there is only one x-value for the y-value.

Which of the graphs below does NOT represent a functional relationship?

A.
Incorrect. This graph represents a functional relationship because it passes a vertical line test.

B.
Incorrect. This graph represents a functional relationship because it passes a vertical line test.

C.
Correct! The graph does not represent a functional relationship because it does not pass the vertical line test.

D.
Incorrect. This graph represents a functional relationship because it passes a vertical line test.