Name: 
 

Math 12F LG 14 Practice Quiz #3


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

 1. 
Determine the degree of this polynomial function:
mc001-1.jpg
A.
0
B.
1
C.
2
D.
3
 

 2. 
Determine the number of turning points on this polynomial function:
mc002-1.jpg
A.
0
B.
1
C.
2
D.
3
 

 3. 
Determine the degree of this polynomial function:
f(x) = mc003-1.jpgx3 + 6x – 8
A.
0
B.
1
C.
2
D.
3
 

 4. 
Determine the degree of this polynomial function:
f(x) = mc004-1.jpg + 2x
A.
0
B.
1
C.
2
D.
3
 

 5. 
Determine the leading coefficient of this polynomial function:
f(x) = x2(x – 2x + 10)
A.
0
B.
1
C.
–1
D.
–2
 

 6. 
Determine the equation of this polynomial function:
mc006-1.jpg
A.
f(x) = –x2 – 3x – 1
B.
g(x) = x2 – 2x + 1
C.
h(x) = –x3 – 2x2 + 1
D.
j(x) = x3 + 2x
 

 7. 
Fill in the blanks to describe the end behaviour of this polynomial function:
The curve extends from quadrant ____ to quadrant ____.
mc007-1.jpg
A.
II; I
B.
II; IV
C.
III; I
D.
III; IV
 

 8. 
Use a ruler to help you estimate the slope for a line that best approximates the data in the scatter plot.
mc008-1.jpg
A.
–1
B.
1
C.
2
D.
3
 

 9. 
What kind of relationship might there be between the independent and dependent variables in this scatter plot?
mc009-1.jpg
A.
linear
B.
quadratic
C.
cubic
D.
none of the above
 

 10. 
Determine the equation of the cubic regression function for the data.
x
2
4
7
10
12
13
17
19
y
135
120
105
102
99
88
78
47

A.
y = 0.05x3 – 1.5x2 – 16x + 162.5
B.
y = –0.05x3 + 1.5x2 – 16x + 162.5
C.
y = 0.05x3 + 1.5x2 + 16x – 162.5
D.
y = –0.05x3 + 1.5x2 + 16x – 162.5
 

Short Answer
 

 1. 
Determine the independent and dependent variables for the following relationship:
The shoe size of students is related to the height of students.
 

 2. 
Determine the independent and dependent variables for the following relationship:
The number of bedrooms in a home is related to the number of family members.
 

 3. 
Determine the equation of the cubic regression function for the data. Round all values to the nearest hundredth.
x
1
1.5
2
2.5
3
3.5
y
314
253
216
198
193
167
 

Problem
 

 1. 
Determine the following characteristics of the polynomial function f(x) = x3 – 8x2 – 3.
Show your work.
• number of possible x-intercepts
• y-intercept
• end behaviour
• domain
• range
• number of possible turning points
 

 2. 
Identify the correct polynomial function for this graph. Justify your reasoning.
pr002-1.jpg

i) y = –pr002-2.jpgx + 1iv) y = –pr002-3.jpg – x
ii) y = –x2 + x + 4v) y = 2(x – 2)(x – 1)
iii) y = pr002-4.jpgvi) y = pr002-5.jpg(x3 + x + 1)
 



 
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