wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

3.1 Relations and functions

Total questions: 39

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
a)
Function
b)
Not a Function
2.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
3.
Is this table a function or not a function? 
a)
Function
b)
Not a Function 
4.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
5.
Is this a function? 
a)
Yes 
b)
No
6.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}
7.

What is f(6) for the function f(x)=3x-8

a)

-8

b)

10

c)

-144

d)

answer not here

8.
f(x)=x2-5x
f(4)=
a)
-4
b)
126
c)
24
d)
84
9.

Interpret the y-intercept of the graph.

a)

All those polled used a social networking site 8 months after February 2005.

b)

About 8% of those polled used a social networking site in February 2005.

c)

No one used a social networking site in February 2005.

d)

There were 8 social networking sites in February 2005.

10.

Identify the independent and dependent variables.

a)

game; score

b)

score; game

11.

Identify the independent and dependent variables.

a)

time; temperature

b)

temperature; time

12.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
13.

List the ordered pairs

a)

(1,3), (2,6), (3,9), (4,12)

b)

(3,1), (6,2), (9,3), (12,4)

c)

Input and Output

d)

Output and Input

14.

List the ordered pairs

a)

Input and Output

b)

(0,12), (2,10), (4,8), (6,6)

c)

(12,0), (10,2), (8,4), (6,6)

d)

(6,6)

15.

List the ordered pairs

a)

Input and Output

b)

(-1, 1), (-2, 1), (-3,2), (-4,2)

c)

(1,1) (2,4)

d)

(1,-1), (1,-2), (2,-3), (2,-4)

16.

A relation pairs each input with exactly one output is a

a)

congruence

b)

similarity

c)

function

d)

mathematical equation

17.

Determine if the relations is a function and describe the pattern

a)

Yes it is a function, input goes up 1 and output goes up by 15

b)

Yes it is a function, input goes up 15 and output goes up by 1

c)

Not a function, input goes up 1 and output goes up by 15

d)

Not a function, input goes up by 15 and output goes up by 1

18.

Determine if the relation is a function

a)

Not a function, each input has more than one output

b)

Yes it is a function, because each input has exactly on output

c)

Not a function, input is equal to output

d)

Yes it is a function, -1/2 is a fraction of 2

19.

Which of the relations below is a function?

a)

{(2, 3), (3, 4), (5, 1), (2, 4)}

b)

{(2, 3), (3, 4), (6, 2), (7, 3)}

c)

{(2, 3), ( 3, 4), (6, 2), (3, 3)}

20.

Given the relation A = {(5, 2), (7, 4), (9, 10), (x, 5)}. Which of the following values for x will make relation A a function?

a)

7

b)

9

c)

4

21.

The following relation is a function.

{(10, 12), (5, 3), (15, 10), (5, 6), (1, 0)}

a)

True

b)

False

22.

Which of the relations below is a function?

a)

{(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}

b)

{(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}

c)

{(0, 2), (0, 3), (0, 4), (0, 5), (0, 6)}

23.

Is the relation depicted in the table below a function?

a)

Yes

b)

No

c)

Cannot be determined from a table

24.

The graph of a relation is shown below. Is the relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

25.

The graph of a relation is shown below. Is the relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

26.

Which graph represents a function?

a)
b)
c)
d)
27.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
28.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
29.
Is this a function? 
a)
Yes
b)
No
30.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
31.
Is this a function?
a)
Yes
b)
No
32.
Is this a function? 
a)
Yes 
b)
No
33.
Is this a function? 
a)
Yes 
b)
No
34.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

35.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

36.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

37.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
38.
Which graph is a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
39.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}