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Worksheets

Relations & Functions

Total questions: 62

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
2.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
3.

Is this table a function or not a function? 

*Hint: Do any of the domain (x) values repeat?

If you answer no, then it is a Function.

If you answer yes, then it is NOT a Function.

a)
Function
b)
Not a Function
4.

Is this graph a function or not a function? 

*Hint: Use the Vertical Line Test (pencil test).

a)
Function
b)
Not a Function
5.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
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:{-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
7.

If f(2) = 4, what is the ordered pair for the function?

a)

(4, 2)

b)

(2, 4)

c)

(0, 4)

d)

(2, 0)

8.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
9.

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

10.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
11.

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

12.
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.
13.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
14.
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)
15.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
16.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
17.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
18.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
19.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
20.
.
a)
Function
b)
Not a Function
21.
.
a)
Function
b)
Not a Function
22.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a function
23.

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)}

24.
a)
Function
b)
Not a Function
25.
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}
26.
Is the relation a function? 
{(4,5), (4,-7), (4,2), (4,0), (4,9)}
a)
Yes
b)
No
27.
Give the domain and range of the relation.
{(-2,-1), (-1,0), (0,-1), (1,0), (2,-1)}
a)
D: {-2, -1, 0, 1, 2}
R: {-1, 0}
b)
D: {-1, 0}
R: {-2, -1, 0, 1, 2}
c)
D: {-2, -1, 0, 1, 2}
R: {-1, -1, -1, 0, 0}
d)
D: {-2 < x < 2}
R: {-1 < y < 0}
28.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
29.
a)
Function
b)
Not a Function
30.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
31.
What is the range of the given relation?
a)
{1, 4, 5, 8}
b)
{-9, -5, 1, 7}
c)
{-9, -5, 1, 7, 4, 5, 8}
d)
{4, 5, 8}
32.
Is the graph pictured a function?
a)
Yes
b)
No
33.

The collection of all Y-values or outputs are called what?

a)

solutions

b)

domain

c)

range

d)

answers

34.

What is the ordered pair for point K?

a)

(-3, -3)

b)

(3, -3)

c)

(-4, -4)

d)

(5, 8)

35.

In an ordered pair ( __ , __) which axis comes first?

a)

y

b)

x

36.

What is the ordered pair for point E?

a)

(3, 0)

b)

(0,4)

c)

(0, -3)

d)

(-3, 0)

37.
a)
Function
b)
Not a Function
38.

What is the DOMAIN?

a)

{1, 2, 3, 4}

b)

{-3, 0, 3}

c)

{-3, 1, 2, 5}

d)

{1, 2, -3, 5}

39.
What is the range?
a)
{-2,2,5}
b)
{1,3,5,6}
c)
all real numbers 
d)
-2<y<5
40.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
41.

Match the relations with their domain and range.

a)
1.

D: {-4, 3, 5, 7}

R: {4, 14, 32}

b)
2.

D: {-7, -2, 0, 5}

R: {-9, -4, -1}

c)
3.

D: {-2, -1, 0, 1, 2}

R: {-2, -1, 0, 1, 2}

d)
4.

D: {-1, 0, 2, 7}

R: {-2, 1, 4, 7}

e)
5.

D: {-5, -3, 3}

R: {-5, -2, 5}

42.

Which of these sets is the RANGE of the graph?

a)

{0, 6, 12, 18}

b)

{-2, 0, 2, 4}

c)

{-2, 2, 4}

d)

{6, 12, 18}

43.
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
44.

Which of these sets of ordered points represents the mapping?

a)

{(9, 1), (5, 5), (1, 8), (7, 1), (7, 4)}

b)

{(-9, 1), (-5, 5), (1, 8), (7, 1), (7, 4)}

c)

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

d)

{(-9, 1), (-5, 4), (1, 5), (7, 8)}

e)

{(1, -9), (1, 7), (4, 7), (5, -5), (8, 1)}

45.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
46.

Is the relation a function?

a)

Yes, each input has one output

b)

No, each input has more than one output

c)

No, the cost of the movies is different

d)

Yes, each output has one input

47.
Does this table represent a function?
a)
Function
b)
Not a Function
48.
What is the y-intercept?
a)

(0,7)

b)

(0, 0)

c)

(0,1)

d)

(0, 2)

49.
What is the x- intercept of the line?
a)

(1, 0)

b)

(2, 0)

c)

( -1, 0)

d)

(-2, 0)

50.

What is the y-intercept of the line?

a)

(0, 1)

b)

(0, -2)

c)

(0, -1)

d)

(0, 2)

51.

In a relation, x values can repeat, but in a function, ________ cannot repeat.

a)

y-values

b)

x-values

c)

both x-values and y-values

52.

What is the correct order to write the domain and range in a mapping?

a)

From greatest to least

b)

From least to greatest

c)

In any order

d)

From smallest to largest

53.

Which mapping diagram is not a function?

a)
b)
c)
d)
54.
Which axis runs vertically?
a)
x
b)
Y
55.
Which axis runs horizontally?
a)
x
b)
y
56.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
57.
What letter is located at (5, 7)
a)
A
b)
B
c)
C
d)
D
58.
What is Coordinate N?
a)
(7,6)
b)
(5,5)
c)
(6,6)
d)
(7,7)
59.
What letter is located at (8, 5)?
a)
A
b)
B
c)
C
d)
D
60.
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
61.
What is the Range?
a)
{-3, -1, 1, 3, 5, 7, 9}
b)
{-3, -2, -1, 0, 1, 2, 3}
c)
-3 ≤ x ≤ 3
d)
-3 ≤ x ≤ 9
62.
What is the domain?
a)
{-4, -1, 0, 2, 7}
b)
{-5, -4, -1, 0, 1, 2, 4, 7}
c)
{-5, 0, 1, 2, 4}
d)
{5}

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