Name: 
 

Math 12 LG 4 Practice Quiz #1


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

 1. 
Compared to the graph of the base function mc001-1.jpg, the graph of the function mc001-2.jpg is translated
A
2 units up
C
2 units to the left
B
2 units to the right
D
2 units down
 

 2. 
When b < 0, the function mc002-1.jpg has what relationship to the base function mc002-2.jpg?
A
f(x) is stretched horizontally by a factor of 1/|b|
B
f(x) is stretched horizontally by a factor of 1/|b| and reflected in the y-axis
C
f(x) is stretched vertically by a factor of |b|
D
f(x) is stretched vertically by a factor of |b| and reflected in the x-axis
 

 3. 
Which of the graphs shown below represents the base function mc003-1.jpg (in black) and the stretched function g(x) = mc003-2.jpgmc003-3.jpg (in red)?
A
mc003-4.jpg
C
mc003-6.jpg
B
mc003-5.jpg
D
mc003-7.jpg
 

 4. 
Compared to the graph of the base function mc004-1.jpg, the graph of the function mc004-2.jpg is translated
A
4 units to the right and 8 units up
C
8 units to the left and 4 units down
B
4 units to the left and 8 units down
D
8 units to the right and 4 units up
 

 5. 
Given the function mc005-1.jpg, which of the following is a restriction on the inverse function, mc005-2.jpg?
A
mc005-3.jpg
C
mc005-5.jpg
B
mc005-4.jpg
D
mc005-6.jpg
 

 6. 
Which point on the graph mc006-1.jpg does not exist on the graph of mc006-2.jpg?
A
mc006-3.jpg
C
mc006-5.jpg
B
mc006-4.jpg
D
mc006-6.jpg
 

 7. 
Which graph shows the solution to the radical equation mc007-1.jpg?
A
mc007-2.jpg
C
mc007-4.jpg
B
mc007-3.jpg
D
mc007-5.jpg
 

 8. 
Which graph shows the solution to the radical equation mc008-1.jpg?
A
mc008-2.jpg
C
mc008-4.jpg
B
mc008-3.jpg
D
mc008-5.jpg
 

 9. 
What is the solution to the radical equation mc009-1.jpg?
A
–4
C
4
B
12
D
128
 

 10. 
When solving the equation mc010-1.jpg, which values must be checked for extraneous roots?
A
–4 and 7
C
8 and 6
B
7 and –7
D
–4 and –7
 

Short Answer
 

 1. 
Solve the equation sa001-1.jpg, sa001-2.jpg, algebraically.
 

 2. 
Solve the equation sa002-1.jpg algebraically.
 

Problem
 

 1. 
Consider the function pr001-1.jpg.
a) Determine the square root of the function.
b) Graph the functions on the same set of axes.
c) State the domains and ranges of the graphs.
d) Describe the relationship between the domain and range of f(x) and the domain and range of g(x).
 

 2. 
Sun-Eui, a graduate student, is using the function pr002-1.jpg to model the number of flowers a new hybrid bee can pollinate. For the function, N represents the number, in thousands, of flowers pollinated and t represents the time, in days.
a) If there are 10 000 flowers, how long will it take to pollinate all of the flowers?
b) Sun-Eui believes that the second generation of bees can reduce the time to pollinate the flowers by half by changing the function to pr002-2.jpg. Is she correct? Justify your reasoning.
c) Should Sun-Eui continue with the project?
 



 
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