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Functions and Volume Test Review

Total questions: 50

Worksheet time: 3hrs 33mins

Name
Class
Date
1.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
2.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
3.

Is this mapping diagram a function or not a function?

a)

Function

b)

Not a Function

4.

Is this graph pictured a function?

a)

Yes

b)

No

5.

Is this table a function or not a function?

a)

Function

b)

Not a Function

6.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
7.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

8.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

9.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

10.
What is the range of the graph?
a)
-2 < y < 10
b)
-3 < x < 3
c)
-2 ≤ y ≤ 10
d)
-3≤ x ≤ 3
11.

What is the DOMAIN of this graph?

a)

-7<x<5

b)

-7≤x<5

c)

-3<y<1

d)

-3≤y<1

12.

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}

13.

Which number is not an element of the domain?

a)

2

b)

1

c)

0

d)

6

14.

What is the domain of this graph?

a)

{-2 ≤ x ≤ 4}

b)

{-5 ≤ x ≤ 4}

c)

{-4, 0, -2}

d)

{-4 ≤ x ≤ 2}

15.
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}
16.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

17.

What is the DOMAIN of the above graph?

a)

5<x<4-5<x<4  

b)

5<y<2-5<y<-2  

c)

5x4-5\le x\le4  

d)

5y2-5\le y\le-2  

18.

What is the RANGE of the above graph?

a)

5<x<4-5<x<4  

b)

5<y<2-5<y<-2  

c)

5x4-5\le x\le4  

d)

5y2-5\le y\le-2  

19.

Match the verbal description with the part of the graph it describes.
Constant

a)
F
b)
A
c)
D
d)
C
20.

Find the number of interval(s) where the graph is decreasing.

a)

1

b)

2

c)

3

d)

4

e)

everywhere

21.

Find the interval(s) of increase of the graph shown.

a)

(-6, -4)

b)

(-4, -2)

c)

(-2, 2)

d)

(2, 5)

e)

(5, 6)

22.

Find the interval(s) of decrease of the graph shown.

a)

(-6, -4)

b)

(-4, -2)

c)

(-2, 2)

d)

(2, 5)

e)

(5, 6)

23.

Find the interval(s) where the graph remains constant.

a)

(-6, -4)

b)

(-4, -2)

c)

(-2, 2)

d)

(2, 5)

e)

(5, 6)

24.
A ball shaped like a sphere has a radius of 2.7 cm.  Which measurement is closest to the volume of the ball in cubic cm?
a)
46.38
b)
33.93
c)
122.15
d)
82.45
25.
What is the relationship between the volume of cylinder to a similar cone with the same dimensions?
a)
The volume of the cone is 3-times larger
b)
The volume of the cylinder is 3-times larger
c)
The volume of the cone is 2-times larger
d)
The volume of the cylinder is 2-times larger
26.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
27.

What is the volume, in cubic inches, of the cylinder?

a)

120π

b)

240π

c)

960π

d)

1800π

28.

Find the Volume of the Sphere

a)

904.78 ft3

b)

7,234.56 ft3

c)

150.72 ft3

29.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
30.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
31.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
32.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
33.

Determine if the equation is linear or nonlinear.

yx9=12y-\frac{x}{9}=12  

a)

Linear

b)

Nonlinear

34.

Determine if the equation is linear or nonlinear.

2x3=y112x^3=y-11  

a)

Linear

b)

Nonlinear

35.
Who has the greater rate of change?
a)
CJ has a greater rate of change with 13/2
b)
Holland has a greater rate of change with 6
c)
CJ has a greater rate of change with 2/13
d)
They have the same rate of change.
36.
Who has the same rate of change?
a)
Dennis and Kameron have the same rate of change.
b)
Myriah and Kameron have the same rate of change.
c)
Dennis and Myriah have the same rate of change.
d)
They ALL have the same rate of change
37.
Who has the greater rate of change?
a)
Troy has the greater rate of change.
b)
Lucy has the greater rate of change 
c)
They have the same rate of change
38.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
39.

Heart rate is measured in beats per minute (bpm).

What is the rate of change?

a)

100 bpm

b)

75 bpm

c)

2 minutes 150 heart beats.

d)

20 bpm

40.

Which rate of change matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

41.

Find the volume of the following cone.

a)

156π m3

b)

702π m3

c)

2,106π m3

d)

78π m3

42.

Find the height of a cylinder with a volume of 2,260.8 ft3 and a radius of 6 ft. Use 3.14 for Pi.


Height: ?

Radius: 6 ft

Volume: 2,260.8 ft3

a)

12 ft

b)

20 ft

c)

36 ft

d)

18.84 ft

43.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
44.

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. An equation to represent this situation is y=50x+125y=50x+125

What is the initial value in this situation?

a)

50 dollars

b)

125 dollars

45.

The table represents the height of a candle as it burns.

What is the initial value of the table?

a)

 18 inches

b)

  15 inches

c)

 0 inches

d)

 5 inches

46.

What is another name for rate of change?

a)

y-intercept

b)

x-intercept

c)

slope

d)

speed

47.

What is another name for the initial value?

a)

origin

b)

x-intercept

c)

y-intercept

d)

rate of change

48.
Find the Total Surface area of the cylinder. 
a)
62.8m
b)
477.28 cm2
c)
 235.5 cm3
d)
942 cm2
49.

If the volume of a cylinder is 150π150\pi , what is the volume of a cone with the same height and radius?

a)

150π150\pi

b)

75π75\pi

c)

50π50\pi

d)

Not enough information.

50.

If the volume of a cone is 90 cm390\ cm^3 , what is the volume a cylinder with the same height and radius?

a)

90 cm390\ cm^3

b)

45 cm345\ cm^3

c)

30 cm330\ cm^3

d)

270 cm3270\ cm^3