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Quadratic and Cubic Functions Retest

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Which of the following equations represents the data given below?

x
0
1
2
3
4
5
6
y
–7
–2
13
38
73
118
173

A.
y = 5x2 – 7
B.
y = 5x2 + 7
C.
y = x2 - 7x
D.
y = x2 + 7x
 

 2. 

Which of the following equations represents the data given below?

mc002-1.jpg
A.
y = 60x3 + 26.67x2 + 9.33x + 6
B.
y = 14x3 + 16x2 + 19x + 6
C.
y = 3.33x3 + 17.33x2 + 33.33x + 6
D.
y = 0.33x3 + 6x2 – 3x + 6
 

 3. 

Look at the table shown below.

x
y = f(x)
1
-3
2
12
3
37
4
72

What type of function is represented in the table?
A.
Linear
B.
Exponential
C.
Quadratic
D.
None of these
 

 4. 

Look at the table shown below.

x
y = f(x)
0
4
1
5
2
12
3
25
4
44

Which of the following represents the quadratic function relating the variables?
A.
f(x) = 3x2 – 2x + 4
B.
f(x) = 3x2 + 2x + 4
C.
f(x) = 6x2 – 2x + 4
D.
f(x) = 6x2 – 5x + 4
 

 5. 

Each table shown below represents a function.

Table 1
 
Table 2
x
y = f(x)
 
x
y = f(x)
0
5
 
0
5
1
6
 
1
10
2
13
 
2
21
3
26
 
3
38
4
45
 
4
61

Which of the following is NOT a true statement about the functions representing the data in the tables?
A.
Both tables represent quadratic functions.
B.
The value of A is the same in both functions.
C.
The value of B in the function representing Table 1 is the opposite of the value of B in the function representing Table 2.
D.
The second difference in Table 1 is 3.
 

 6. 

Which of the following best describes the relationship in the data in the table below?

x
f(x)
1
4
2
0
3
-12
4
-32
5
-60

A.
Linear Function
B.
Quadratic Function
C.
Exponential Function
D.
None of the Above
 

 7. 

Look at the data in the table below.

x
f(x)
1
-11
2
-34
3
-69
4
-116
5
-175

Which of the following quadratic functions best models the data in the table?
A.
f(x) = -3x2 – 8x
B.
f(x) = 4x2 – 15x
C.
f(x) = x2 – 12x
D.
f(x) = -6x2 – 5x
 

 8. 

Which of the following tables shows data related by the quadratic function f(x) = 3x2 - 16x?
A.
mc008-1.jpg
B.
mc008-2.jpg
C.
mc008-3.jpg
D.
mc008-4.jpg
 

 9. 

A ball is thrown upward with an initial velocity of 30 meters per second. The position of the ball over time is recorded in the table below.

Time in Seconds, x
Distance from the Ground in meters, f(x)
0
0
1
25
2
40
3
45
4
40
5
25

Which quadratic function models the data?
A.
f(x) = -5x2 + 30x
B.
f(x) = 30x2
C.
f(x) = 30x2 – 5x
D.
f(x) = -5x2 – 30x
 

 10. 

Does the data in the table below show a cubic function?  If so, which function represents the data?

x
y
0
5
1
7
2
21
3
59
4
133
5
255

A.
yes, y = 0.5x3 + 5
B.
yes, y = 2x3 + 5
C.
yes, y = 12x3 + 5
D.
Not a cubic function
 

 11. 

What type of function is represented in the table?

x
f(x)
-1
-3
0
-2
1
-1
2
6
3
25
4
62

A.
Linear
B.
Exponential
C.
Quadratic
D.
Cubic
 

 12. 

Values from the function g(x) are shown in the table below.

x
g(x)
-1
-8
0
0
1
8
2
64
3
216
4
512

Which of the following functions best represents the function g(x)?
A.
g(x) = 8x
B.
g(x) = 8x2
C.
g(x) = 8x3
D.
g(x) = 8x
 

 13. 

The volume of a set of shipping containers is shown in the table below.

Width of base, w (feet)
Volume, V (cubic feet)
0
0
1
4.5
2
20
3
52.5
4
108
5
192.5

Which of the following equations best represents the volume, V, based on the width of the base of the container, w?
A.
V = w3 + 2.5w2 + w
B.
V = w3 + 4.5w2 + w
C.
V = 6w3 + 4.5w2 + 11w
D.
V = 6w3 + 2.5w
 

 14. 

Look at the table shown below.

x
y
1
-6
2
23
3
108
4
279

What type of function is represented in the table?
A.
Linear
B.
Exponential
C.
Quadratic
D.
Cubic
 

 15. 

Look at the table shown below.

x
y
0
1
1
7
2
27
3
73
4
157

Which of the following represents the cubic function relating the variables?
A.
y = 2x3 + x2 + 3x + 1
B.
y = x3 + 2x2 + 3x + 1
C.
y = 2x3 + 3x2 + x + 1
D.
y = 3x3 + x2 + 2x + 1
 



 
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