

1. 
Given f(x) = x^{2} + 1 and g(x) = 2x  1, find (f  g)(x). 


A. 
x^{2}  2x + 1 
B. 
x^{2}  2x  1 


C. 
x^{2} + 2x 
D. 
x^{2}  2x + 2 


Hint 


2. 
What are the vertices of the triangle formed? 





A. 
(100, 400), (500, 400), and (100, 800) 


B. 
(100, 400), (400, 500), and (100, 800) 


C. 
(100, 400), (500, 400), and (800, 100) 


D. 
(100, 400), (400, 500), and (800, 100) 


Hint 


3. 
If you use the parent graph y = as a reference, how would you graph y =  3? 


A. 
Move the parent graph to the left 3 units. 
B. 
Move the parent graph down 3 units. 


C. 
Move the parent graph to the right 3 units. 
D. 
Move the parent graph up 3 units. 


Hint 


4. 
Determine the interval(s) on which the function f(x) = 2x + 1 + 3 is increasing and the interval(s) on which the function is decreasing. 


A. 
The function is decreasing for x > 0, and the function is increasing for x < 0. 


B. 
The function is increasing for x > 1, and the function is decreasing for x < 1. 


C. 
The function is increasing for x > 3, and the function is decreasing for x < 3. 


D. 
The function is increasing for x > 2, and the function is decreasing for x < 2. 


Hint 


5. 
Use the parent graph f(x) = to graph the function k(x) = ; identify the new location of each asymptote. 


A. 
y = 5 
B. 
y = 2 


C. 
x = 5 
D. 
x = 2 


Hint 


6. 
Use the Remainder Theorem to find the remainder for the division of (x^{4}  3x^{2} + 2x  1) ÷ (x  1). The remainder is ____. 


A. 
2 
B. 
0 


C. 
1 
D. 
1 


Hint 


7. 
Solve > 0. 


A. 
2 < x < 0 or x < 1 
B. 
1 < x < 0 or x > 1 


C. 
1 < x < 0 or x > 2 
D. 
2 < x < 0 or x > 2 


Hint 


8. 
If the angle 1500° is in standard position, state the quadrant in which its terminal side lies. 


A. 
III 
B. 
I 


C. 
IV 
D. 
II 


Hint 


9. 
In Hero's Formula, to find the area of a triangle, s in the formula represents ______. 


A. 
none of these 
B. 
the perimeter of the triangle 


C. 
the sum of any two of the three sides of the triangle 
D. 
the semiperimeter of the triangle 


Hint 


10. 
State the amplitude, period, phase shift, and vertical shift for y = 3 cos  4. 


A. 
4; 8; 2; 3 
B. 
3; 8; 2; 4 


C. 
3; 8; 2; 4 
D. 
4; 8; 2; 3 


Hint 


11. 
Find Cos^{1} . 


A. 
1 
B. 
0 


C. 

D. 
1 


Hint 


12. 
If csc = 2, find sin . 


A. 

B. 



C. 

D. 
2 


Hint 


13. 
Solve sin x cos x  cos x = 0 for principal values of x. Express solutions in degrees. 


A. 
150°, 90° 
B. 
30°, 90° 


C. 
60°, 90° 
D. 
30°, 60° 


Hint 


14. 
Solve sin^{2} x  sin x + 1 = cos^{2} x for 0 x < 2. 


A. 
0, , , 
B. 
0, , 


C. 
0, , , 
D. 
0, , , 


Hint 


15. 
What is the distance between the lines with equations x + y  5 = 0 and y = x + 10? 


A. 

B. 



C. 

D. 



Hint 


16. 
Find the inverse of . 


A. 
0 
B. 



C. 

D. 
does not exist 


Hint 


17. 
Complete the graph so it is symmetric about the origin. 





A. 

B. 



C. 

D. 



Hint 


18. 
Which is the graph of y > (x  3)^{2}? 


A. 

B. 



C. 

D. 



Hint 


19. 
Use the sum or difference identity for tangent to find the exact value of tan 165°. 


A. 
 2 
B. 
1 


C. 
 
D. 



Hint 


20. 
Write the standard form of the equation of a line for which the length of the normal segment to the origin is 19 and the normal makes an angle of 150° with the positive xaxis. 


A. 
x + y  19 = 0 


B. 
x  y + 38 = 0 


C. 
x  y + 19 = 0 


D. 
x + y  38 = 0 


Hint 

