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Worksheets

Identifying Functions in Tables, Graphs & Mapping Diagrams

Total questions: 150

Worksheet time: 3hrs 10mins

Name
Class
Date
1.

Does this represent a function?

a)

Yes

b)

No

2.

Does this represent a function?

a)

Yes

b)

No

3.
a)

A

b)

B

c)

C

d)

D

4.

Does this represent a function?

a)

Yes

b)

No

5.

Does this represent a function?

a)

Yes

b)

No

6.
a)

A

b)

B

c)

C

d)

D

7.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
8.
a)
Yes
b)
No
9.
a)
Yes
b)
No
10.
a)
Yes
b)
No
11.

Is the relation a function? Explain.

a)

Yes, the x-value 11 has two y-values paired with it.

b)

Yes, each x-value has only one y-value paired with it.

c)

No, the x-value 11 has two y-values paired with it.

d)

No, each x-value has only one y-value paired with it.

12.

Does the following relation represent a function?

(1,5), (1,6), (1,7), (1,8), (1,9)

a)

Yes, there are no repeated x-values

b)

No, there are repeated x-values

13.

Does the table represent a function?

a)

Yes

b)

No

14.

Does the graph represent a function?

a)

Yes

b)

No

15.

Does the graph represent a function?

a)

Yes

b)

No

16.
You can identify a function from a graph by using the.....
a)
Horizontal Line Test
b)
Eye Test
c)
Vertical Line Test
d)
Diagonal Line Test
17.

Does the graph represent a function?

a)

Yes

b)

No

18.

Does the mapping represent a function?

a)

Yes

b)

No

19.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
20.

The table represents the equation k = j - 20.

Use the equation to find the missing value.

a)

34

b)

27

c)

41

d)

38

21.

For the function rule, y = -2x + 3: If the input is 4, what is the output?

a)

5

b)

11

c)

-5

d)

-11

22.

Which of the following equations describes the relationship between a and b?

a)

b = a +13

b)

b = a +5

c)

b = a +18

d)

b = a +14

23.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
24.

How do you determine if a graph is a function?

a)

look at the y-values, if they repeat, it's not a function

b)

Use the "vertical line" test aka "pencil test"

c)

Look at you x-values, if they repeat it is a function

d)

Use the horizontal line test

25.

How can you determine if a table or ordered pairs represents a function?

a)

for every y-value there is only one x-value

b)

for every x-value there is only one y-value

c)

vertical line test

d)

for every x-value there is more than one y-value

26.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
27.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
28.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
29.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
30.
Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 
a)
(3, 7)
b)
(4, 1) 
c)
(1, 9)
d)
(2, 6)
31.

Does this represent Y as a function of X?

a)

Yes

b)

No

c)

oohhh.....Spider Webbs!

32.

Does this represent a function?

a)

Yes

b)

No

33.
a)

A

b)

B

c)

C

d)

D

34.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
35.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
36.

Does this image represent a Mapping Diagram?

a)

True

b)

False

37.

Does "x" represent the INPUT value?

a)

True

b)

False

38.

Does "y" represent the OUTPUT value in function tables?

a)

YES

b)

NO

39.

When identifying functions using tables, I know that the table represents a FUNCTION when....

a)

the input values repeat

b)

there is only ONE input value for each output value

c)

the output values appear more than once

40.

I know that a set of ordered pairs is NOT A FUNCTION if...

a)

y values repeat

b)

there is no initial value

c)

x values repeat

41.

True or False: This set of ordered pairs represents a FUNCTION

a)

True

b)

False

42.

I know that this set of ordered pairs represents a FUNCTION because...

4 lines
43.

Which of these tables represents a FUNCTION?

a)

Table A

b)

Table B

c)

None of these tables represents a function

44.

Which of these mapping diagrams represent a FUNCTION?

a)

None of these mapping diagrams represents a function

b)

Mapping Diagram A

c)

Mapping Diagram B

45.

True or False: When creating a mapping diagram there must be two ovals, one representing x- values (input) and one representing y-values (output)

a)

True

b)

False

46.

Select all of the "rules" or steps involved in creating a mapping diagram using a set of ordered pairs.

a)

List the inputs (x-values) in order from least to greatest in the first oval.

b)

List the outputs (y-values) in order from least to greatest in the second oval.

c)

If any x- or y-values repeat, only write them once!

d)

Draw lines to connect each input with the corresponding output.

e)

All of these steps are involved in creating a mapping diagrams.

47.

A function is a relationship in which each (a)   has exactly one output.

48.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
49.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
50.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
51.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
52.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
53.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
54.
Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 
a)
(3, 7)
b)
(4, 1) 
c)
(1, 9)
d)
(2, 6)
55.
This graph represents which function?
a)
y = -2x
b)
y = 2x
c)
y = -2x + 1
d)
y = 2x - 1
56.
Complete the function table for y = -2x + 1.
a)
-2(2) + 1; -2
b)
-2(2) + 1; -3
c)
-2(2) + 1; -1
d)
-2(2) + 1; 0
57.
The table shows the amount of money Anisha is paid for working different numbers of hours.  What would be Anisha's total pay if she works for 24 hours in a week?
a)
$170
b)
$168
c)
$175
d)
$180
58.
The deli in the grocery store gives each customer a free cup of coffee worth $1.50.  Write a function to represent the situation.
a)
y = 1.5x
b)
y = 15x
c)
x = 1.5y
d)
x = 15y
59.
Is the relation a function?
a)
yes, it is a function
b)
no, it is not a function
c)
not enough information to determine
60.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
61.
You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?
a)
4 cookies per dollar
b)
6 cookies per dollar
c)
9 cookies per dollar
d)
1/9 dollars per cookie
62.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
63.
Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)
a)
Yes
b)
No
64.
Does this table represent a function?
a)
Yes 
b)
No
65.
Does this table represent a function?
a)
Yes
b)
No
66.
f(x)=4x+5
f(4)=
a)
21
b)
-11
c)
-31
d)
25
67.
f(x)=x2-5x
f(4)=
a)
-4
b)
126
c)
24
d)
84
68.
a)
Function
b)
Not a Function
69.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

70.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
71.
Which of these tables represent a function?
a)
A
b)
B
c)
C
d)
D
72.

Does the mapping of these points represent a function? (Note: the left oval represents your x values and the right oval represents your y values)

a)

Function

b)

Not a Function

73.

Which is a function?

a)

A

b)

B

c)

C

d)

D

74.
a)
Function
b)
Not a function
75.

All of the x values are called what?

a)

Inputs

b)

Range

c)

Relation

d)

Function

76.

All of the y values are called what?

a)

Domain

b)

Outputs

c)

Relation

d)

Function

77.

Does this table represent a function?

a)

Yes

b)

No

78.

Which of the following is a function?

a)
b)
c)
d)
79.
Is this a function or not a function?
a)
Function
b)
Not a Function
80.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
81.
a)
Function
b)
Not a Function
82.
a)
Function
b)
Not a Function
83.
y=x-6
What is the missing number?
a)
12
b)
10
c)
14
d)
13
84.
If my function rule is x - 5, what is the OUTPUT if the input is 14?
a)
9
b)
19
c)
21
d)
1
85.
If my function rule is x + 8, what is my INPUT if the output is 20?
a)
10
b)
12
c)
8
d)
28
86.
If my function rule is 5x, what is my INPUT if the output is 10?
a)
1
b)
50
c)
2
d)
15
87.

Level 2 If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

a)

5

b)

4

c)

22

d)

23

88.

Level 1 Find the missing OUTPUT value.

a)

8

b)

-2

c)

2

d)

-8

89.
How do you determine if a relation is a function? 
a)
The vertical line test crosses more than one point on the graph.
b)
The same y-values are mapped from the same x-values.
c)
The vertical line test crosses only one point on the graph.
d)
Each input is related to more than one output.
90.
Does this table represent a function?
a)
Yes
b)
No
91.
Does this table represent a function?
a)
Yes 
b)
No
92.
Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)
a)
Yes
b)
No
93.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
94.
You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?
a)
4 cookies per dollar
b)
6 cookies per dollar
c)
9 cookies per dollar
d)
1/9 dollars per cookie
95.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
96.
Is the relation a function?
a)
yes, it is a function
b)
no, it is not a function
c)
not enough information to determine
97.
Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 
a)
(3, 7)
b)
(4, 1) 
c)
(1, 9)
d)
(2, 6)
98.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
99.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
100.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
101.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
102.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
103.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
104.

Does this represent a function?

a)

Yes

b)

No

105.

Which of the graphs PASSES the vertical line test?

a)

A

b)

B

c)

C

106.
Is relation shown a function?
a)
YES
b)
NO
107.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; it does not pass the vertical line test
108.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
109.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
110.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function 
111.

Is y a function of x?

a)

function

b)

not a function

112.

Is y a function of x?

a)

function

b)

not a function

113.

Is y a function of x?

a)

function

b)

not a function

114.

Is y a function of x?

a)

function

b)

not a function

115.

Which graph represents a function?

a)
b)
c)
d)
116.

Which image is NOT the graph of a function?

a)
b)
c)
d)
117.

Is y a function of x?

a)

function

b)

not a function

118.

Is y a function of x?

a)

function

b)

not a function

119.

Is y a function of x?

a)

function

b)

not a function

120.

Is y a function of x?

a)

function

b)

not a function

121.

Using the vertical line test. Is this a function?

a)

Yes

b)

No

122.

Using the vertical line test. Is this a function?

a)

Yes

b)

No

123.

Using the vertical line test. Is this a function?

a)

Yes

b)

No

124.

a)

Function

b)

Not a function

125.

a)

Function

b)

Not a function

126.

a)

Function

b)

Not a function

127.

a)

Function

b)

Not a function

128.

a)

Function

b)

Not a function

129.

Function or not

a)

function

b)

not a funtion

130.

Is y a function of x?

a)

Yes, because it passes the vertical line test

b)

No, because it does not pass the vertical line test

131.
a)

function

b)

not a function

132.
a)

function

b)

Not a function

133.
a)

Function

b)

Not a function

134.
a)

Function

b)

Not a function

135.

Which of the following is NOT a function?

a)
b)
c)
d)
136.

Which of the following represents a function?

a)
b)
c)
d)
137.

Which of the following does NOT represent a function?

a)
b)
c)
d)
138.

Is the relation a function?

a)

Yes, it is a function.

b)

No, it is not a function.

139.

Is the relation a function?

a)

Yes, it is a function.

b)

No, it is not a function.

140.

Is the relation a function?

a)

Yes, it is a function.

b)

No, it is not a function.

141.

Is the relation a function?

a)

Yes, it is a function.

b)

No, it is not a function.

142.

Is the relation a function?

a)

Yes, it is a function.

b)

No, it is not a function.

143.

Which one IS A function?

a)

A is a function

b)

B is a function

c)

Both are functions

d)

Neither are functions

144.

Is the relation a function?

a)

Yes, it is a function.

b)

No, it is not a function.

145.

Which one IS A function?

a)

E is a function

b)

F is a function

c)

Both are functions

d)

Neither are functions

146.
a)
Yes
b)
No
147.
a)
Yes
b)
No
148.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

149.

Which of the following is a function?

a)

A

b)

B

c)

C

d)

D

150.

Which is a function?

a)

A

b)

B

c)

C

d)

D