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Worksheets

Function Review

Total questions: 104

Worksheet time: 22hrs 41mins

Name
Class
Date
1.
a)
Function
b)
Not a Function
2.
a)
Function
b)
Not a Function
3.
a)
Function
b)
Not a Function
4.
a)
Function
b)
Not a Function
5.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
6.
a)
Function
b)
Not a Function
7.
a)
Function
b)
Not a Function
8.
a)
Function
b)
Not a Function
9.
a)
Function
b)
Not a Function
10.
a)
Function
b)
Not a Function
11.

Choose the best answer that describes the image.

a)

Function

b)

Not a function

12.

Choose the best answer that describes the image.

a)

Function

b)

Not a function

13.

Choose the best answer that describes the image.

a)

Function

b)

Not a function

14.

Choose the best answer that describes the image.

a)

Function

b)

Not a function

15.

Choose the best answer that describes the image.

a)

Function

b)

Not a function

16.

Choose the best answer that describes the image.

a)

Function

b)

Not a function

17.

Choose the best answer that describes the image.

a)

Function

b)

Not a function

18.

Choose the best answer that describes the image.

a)

it IS a function

b)

it is NOT a function

19.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
20.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

21.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

22.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

23.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

24.
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)
25.

What is the range of the graph?

a)

-4 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

26.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

27.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

e)

I don't know

28.

Given that g(x) = 3x + 1, find g(2).

a)

6

b)

7

c)

8

d)

9

e)

0

29.

Evaluate the function for the given value:

a)

24

b)

-24

c)

18

d)

15

e)

-18

30.
f(x)=4x+5
f(4)=
a)
21
b)
-11
c)
-31
d)
25
31.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

32.

If h(x) = -5x + 7,

Evaluate h(2).

a)

-2

b)

3

c)

-18

d)

-3

33.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
34.
Given f(x) = 2x2 + 5x - 17, find f(-1). 
a)
f(-1) = -20
b)
f(-1) = -24
35.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
36.
a)

1

b)

2

c)

3

d)

4

37.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
38.
What is the range of the function shown?
a)
{10, 19, 26}
b)
{-3, 0, 4}
c)
{-3, 0, 4, 10, 19, 26}
d)
{0, 16}
39.
What is the range of the function f(x)= x2 + 2 when the domain
is {-1, 0 , 1}?
a)
{1, 2, 3}
b)
{2, 3}
c)
{0, 2, 4}
d)
{1, 3}
40.
Which of the inequalities below best describes the domain of the function shown on the graph?
a)
-2 ≤ x ≤ 2
b)
-5 ≤ x ≤ -3
c)
-2 ≤ x ≤ 3
d)
-5 ≤ x ≤ 3
41.
A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?
a)
0≤ x ≤ 7
b)
0≤ x ≤ 8
c)
0≤ y ≤ 7
d)
0≤ y ≤ 8
42.
The elements of f(x) are (-7, 3), (-1, 6) and (8, -3). What is the range of the function?
a)
{-7, -1, -8}
b)
{-3, 6}
c)
{-3, 3, 6}
d)
All real numbers
43.
What is the range of the function graphed?
a)
-3 < x ≤ 6
b)
-3 < y ≤ 6
c)
2 < y ≤ 6
d)
2 < x ≤ 6
44.
What is the domain of the graph?
a)
{-4, 0, 2, 4}
b)
{-5, -4, -3, -1}
c)
{-5, -4, -3, -1, 0, 2, 4}
d)
All real numbers
45.
What is the Domain?
a)
{-3, -1, 1, 3, 5, 7, 9}
b)
{-3, -2, -1, 0, 1, 2, 3}
c)
-3 ≤ x ≤ 3
d)
-3 ≤ x ≤ 9
46.
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}
47.
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
48.
The table of values are shown. What is the range of the relation? From least to greatest. 
a)
(-4,-8,-3)
b)
(-3,2,6)
c)
(-8,-4,4)
d)
(6,2,-3)
49.
The following ordered pairs represent a relation.
{(1,3) , (5,15) , (2,6), (4,12) , (3,9)}
What are the range values from least to greatest!
a)
{1, 5, 2, 4, 3}
b)
{3, 15, 6, 12, 9}
c)
{3}
d)
{3, 6, 9, 12, 15}
50.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
51.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
52.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

53.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
54.

What is domain?

a)

A set of ordered pairs

b)

The collection of all inputs or x-values

c)

The collection of all outputs or y-values

d)

Has only one output for every input

55.

What is range?

a)

The collection of all inputs or x-values

b)

Has only one output for each input

c)

A set of ordered pairs

d)

The collection of all outputs or y-values

56.

What is the domain of the graph?

a)
b)
c)
d)
57.

What is the domain of the graph?

a)

x ≥ -5

b)

x ≤ 5

c)

-5 ≤ x ≤ 5

d)

-5 x ≤ 9

e)

All real numbers

58.

What is the domain of the graph?

a)

x ≥ 1

b)

1 ≤ x ≤ 5

c)

1 ≤ x ≤ 4

d)

x ≤ 5

e)

All real numbers

59.

What is the range of the graph?

a)

y ≥ 1

b)

1 ≤ y ≤ 5

c)

1 ≤ y ≤ 4

d)

y ≤ 5

e)

All real numbers

60.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

-2 ≤ x ≤ 3

c)

-3 ≤ x ≤ 4

d)

-3 ≤ x ≤ 4

e)

All real numbers

61.

What is the range of the graph?

a)

-3 ≤ y ≤ 3

b)

-2 ≤ y ≤ 3

c)

-3 ≤ y ≤ 4

d)

-3 ≤ y ≤ 4

e)

All real numbers

62.
What is the range?
a)
(-4,5]
b)
[-4,5)
c)
(-3,3)
d)
[-3,3]
63.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
64.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
65.
What is happening in the graph between 30 and 40 minutes?
a)
Sarah is accelerating
b)
Sarah is not moving
c)
Sarah is slowing down
d)
Sarah is travelling at a constant speed
66.
What is happening in this graph from point A to B? HINT: Look at the axis labels. 
a)
The object is accelerating.
b)
The object is not moving.
c)
The object is decelerating.
d)
The object is moving at a constant speed.
67.
Where is the object not moving
a)
A-B
b)
O-A
c)
C-D
d)
B-C
68.
Describe the bus’s motion from A-B
a)
A)The bus is speeding up
b)
 B)The bus's speed is remaining constant
c)
 C)The Bus is stopped
d)
 D)The bus is beginning to slow down
69.
Describe the bus’s motion from C-D
a)
A)The bus is speeding up
b)
 B)The bus's speed is remaining constant
c)
 C)The Bus is stopped
d)
 D)The bus is beginning to slow down
70.
What was the speed of the bus from point A-B
a)
A)12 m/s
b)
 B)20 m/s 
c)
 C)10 m/s 
d)
 D)The bus is stopped, so its speed must be zero
71.
Describe the bus’s motion from B-C
a)
A)The bus is speeding up
b)
 B)The bus's speed is remaining constant
c)
 C)The Bus is stopped
d)
 D)The bus is beginning to slow down
72.
What happened during E to F point?
a)
not moving
b)
increasing speed at a constant rate
c)
moving at a 5 m/s
d)
moving at 5 m/sacceleration
73.
What is coordinate L?
a)
(6,6)
b)
(2,5)
c)
(2,3)
d)
(5,2)
74.
What letter is located at (8, 5)?
a)
A
b)
B
c)
C
d)
D
75.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
76.
What is the ordered pair for Point A?
a)
(7, -6)
b)
(-6, 7)
c)
(0, 7)
d)
(-5, 7)
77.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
78.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
79.
If you plotted the point (0, -7), you would be __________.
a)
on the y-axis.
b)
on the x-axis.
c)
in Quadrant I.
d)
in Quadrant II
80.

What is the ordered pair for the letter A?

a)

(-9,4)

b)

(9,4)

c)

(4, -9)

d)

(4,9)

81.

What is the ordered pair for the letter K?

a)

(-7,-5)

b)

(5,7)

c)

(-5,-7)

d)

(7,5)

82.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4
83.
What is the equation of the graph below?
a)
f(x) = I x + 2 I 
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I 
84.
Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5
a)
Left 2 up 5
b)
Right 2 up 5
c)
Left 2 down 5
d)
Right 2 down 5
85.
What shifts have occurred?
a)
left 1, up 5
b)
left 1, down 5
c)
right 1, down 5
d)
right 1, up 5
86.
Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9
a)
Left 4
up 9
b)
Left 4
Down 9
c)
Right 4
up 9
d)
Right 4
Down 9
87.

Write an absolute value function given the following transformations:

Horizontal shift left 1 unit
Vertical shift down 9 units

a)

f(x) = |x + 1| + 9

b)

f(x) = |x - 1| + 9

c)

f(x) = |x + 1| - 9 

d)

f(x) = |x - 1| - 9

88.

Write an absolute value function given the following transformations:
Vertical shift right 2 units
Horizontal shift down 7 units

a)

y = |x + 2| - 7 

b)

y = |x + 2| + 7 

c)

y = |x - 2| - 7

d)

y = |x - 2| + 7

89.

What is the vertex of the following function?
y = |x + 2| + 5

a)

(2, 5)

b)
(-2,5)
c)

(-2, -5)

d)

(2, -5)

90.

What is the vertex of the following function?
y= |x|+1

a)
(0,1)
b)

(0, -1)

c)

(-1, 0)

d)

(1, 0)

91.
Find the function rule for the function table.
a)
2/n
b)
n + 2
c)
2n
d)
n - 2
92.
The output is four times the input.
a)
y = x/4
b)
4x
c)
y = 4x
d)
y = x +4
93.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
94.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
95.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = -1/3x
d)
y = -3x
96.

What is the function of the table?

a)

y=2x

b)

y=x+2

c)

y=x/2

d)

y=x-2

97.
The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 
a)
y=20x
b)
y=84x
c)
y=7/3x
d)
y=3/7x
98.
 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
99.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
100.
In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.
a)
26
b)
3
c)
58.5
d)
2
101.
 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
102.
Which of the following represents direct variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b
103.

Which equation represents an inverse variation?

a)

y=3x+5y=-3x+5

b)

y=2xy=-2x

c)

y=x8y=\frac{x}{8}

d)

y=8xy=\frac{8}{x}

104.

Y varies directly to x. If y = 16 when x = 4, which equation represents this situation?

a)

y=14xy=\frac{1}{4}x

b)

y=12xy=12x

c)

y=4xy=4x

d)

y=64xy=64x