

1. 
The population of Abnerville was 12,500 people in 1950. In 2000, the population was 250,000. Find the average rate of increase in the population over the 50 year period. 


A. 
4750 people per year 
B. 
47,500 people per year 


C. 
47.5 or about 48 people per year 
D. 
475 people per year 


Hint 


2. 
Describe the end behavior of f(x) = x^{2} + 1. 


A. 
As x ,f(x) , and as x , f(x) . 


B. 
As x , f(x) , and as x , f(x) . 


C. 
As x , f(x) , and as x , f(x) . 


D. 
none of these 


Hint 


3. 
Use a graphing calculator to graph g(x) = x^{3}  x + 1 and to determine and classify its extrema. 


A. 
relative maximum: (1.38, 0.6); relative minimum (0.6, 0.62) 
B. 
relative minimum: (0.6, 1.38); relative maximum: (0.6, 0.62) 


C. 
relative maximum: (0.6, 1.38); relative minimum: (0.6, 0.62) 
D. 
relative minimum: (1.38, 0.6); relative maximum: (0.6, 0.62) 


Hint 


4. 
Solve the equation = y. 


A. 
None is correct. 
B. 
3 


C. 
3, 9 
D. 
3 


Hint 


5. 
Write an equation of the cosine function with amplitude 3 and period 9. 


A. 
y = ±3 cos 
B. 
y = ±3 cos 


C. 
y = ±3 cos 3 
D. 
y = ±3 cos 


Hint 


6. 
Write the equation for the inverse of y = Arctan 4x. 


A. 
y = Tan x 
B. 
y = 4 Tan x 


C. 
y = Tan x 
D. 
y = 2 Tan x 


Hint 


7. 
A vector that has a magnitude of one is called a _____. 


A. 
scalar 
B. 
magnitude 


C. 
unit vector 
D. 
resultant 


Hint 


8. 
Write the equation 5x  2y = 7 in polar form. Round to the nearest degree. 


A. 

B. 



C. 

D. 



Hint 


9. 
In a circuit with alternating current, , where E represents voltage, I current, and Z impedance. Determine the voltage in a circuit where there is a current of amps and an impedance of ohms. 


A. 

B. 



C. 

D. 



Hint 


10. 
Find the distance between P(5, 3) and the line with equation 5x + 12y = 18. 


A. 

B. 



C. 

D. 
13 


Hint 


11. 
Find the coordinates of the midpoint of the segment that has endpoints at (4, 7) and (2, 11). 


A. 
(2, 1) 
B. 
(4, 2) 


C. 
(1, 2) 
D. 
(2, 4) 


Hint 


12. 
If M(5, 4) is the midpoint of and C has coordinates (9, 2), find the coordinates of D. 


A. 
(6, 1) 
B. 
(3, 7) 


C. 
(1, 6) 
D. 
(7, 3) 


Hint 


13. 
The graph of the rectangular hyperbola xy = 5 lies in _____. 


A. 
Quadrants II and III 
B. 
Quadrants II and IV 


C. 
Quadrants III and IV 
D. 
Quadrants I and III 


Hint 


14. 
Find the first three iterates of the function g(x) = x^{2} + x for an initial value of x_{0} = 1. 


A. 
= 2 = 6 = 36 
B. 
= 0 = 2 = 4 


C. 
= 2 = 6 = 12 
D. 
= 2 = 6 = 42 


Hint 


15. 
Which of the following describes the system of equations x  3y + 2 = 0 and 2x  6y + 4 = 0? 


A. 
Inconsistent 
B. 
none of these 


C. 
Consistent and dependent 
D. 
Consistent and independent 


Hint 


16. 
Find the values of x and y for which the matrix equation is true. 


A. 
x = 2, y = 3 
B. 
x = 3, y = 2 


C. 
x = 1, y = 0 
D. 
x = 4, y = 2 


Hint 


17. 
Given the function f(x) = , find the inverse. 


A. 
f ^{1}(x) = 4 
B. 
f ^{1}(x) = x  4 


C. 
f ^{1}(x) = 1 
D. 
f ^{1}(x) = 


Hint 


18. 
Evaluate i^{4n +2}, where n is a positive integer. 


A. 
i 
B. 
i 


C. 
1 
D. 
1 


Hint 


19. 
Find the sum . 


A. 
108 
B. 
105 


C. 
93 
D. 
33 


Hint 


20. 
The following is a frequency table of the ages of all the residents in the town of Mt. Plaines. Find the standard deviation of the data. 





A. 
27.56 
B. 
27.08 


C. 
27.93 
D. 
28.51 


Hint 

