

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. 
Find (x) if f(x) = 3x^{2} + 1 and g(x) = 2x + 3. 


A. 
12x^{2}  36x + 28 
B. 
6x^{2} + 5 


C. 
6x^{2}  5 
D. 
12x^{2} + 36x + 28 


Hint 


3. 
Rewrite the equation 3x + y = 7 in slopeintercept form. 


A. 
y = 3x  7 
B. 
y = 7x + 3 


C. 
y = 3x + 7 
D. 
y = 3x  7 


Hint 


4. 
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. 





A. 
Mary improved her free throw performance from yeartoyear by an average of about 25%. 
B. 
Mary improved her free throw performance from yeartoyear by an average of about 15% 


C. 
Mary improved her free throw performance from yeartoyear by an average of about 10%. 
D. 
Mary improved her free throw performance from yeartoyear by an average of about 20% 


Hint 


5. 



A. 

B. 



C. 

D. 



Hint 


6. 
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. 


A. 
A'(1, 2), B'(5, 3), C'(2, 6) 
B. 
A'(1, 2), B'(5, 3), C'(2, 6) 


C. 
A'(2, 1), B'(3, 5), C'(6, 2) 
D. 
A'(1, 2), B'(5, 3), C'(2, 6) 


Hint 


7. 
If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let x = units of lumber, and y = units of plywood. 


A. 



B. 



C. 



D. 



Hint 


8. 
The graph y = 4  2x is symmetric with respect to __________. 


A. 
neither the xaxis nor the yaxis 
B. 
the xaxis 


C. 
both the xaxis and the yaxis 
D. 
the yaxis 


Hint 


9. 
Solve x  1  8 < 3. 


A. 
{x  5 < x < 10} 
B. 
{x  10 < x < 12} 


C. 
{x  8 < x < 10} 
D. 
{x  4 < x < 3} 


Hint 


10. 
Use a graphing calculator to graph g(x) = x^{3}  x + 1 and to determine and classify its extrema. 


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


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


Hint 


11. 
Find a linear equation that can be used as a model for the data shown. 





A. 

B. 



C. 

D. 



Hint 


12. 
Which is the graph of the inequality 2x + y + 3 >0? 


A. 

B. 



C. 

D. 



Hint 


13. 
Which is an odd function? 


A. 

B. 



C. 

D. 



Hint 


14. 
Describe the end behavior of the function: f(x) = x^{4}  x^{3} + x^{2} + x  1 


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


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


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


D. 
f(x) as x , f(x) as x 


Hint 


15. 
Determine the intervals on which the function f(x) = x^{3} + x^{2} + x is increasing and the intervals on which the function is decreasing. 


A. 
increasing for all x 


B. 
decreasing for all x 


C. 
increasing for x < 0 and x > 0 


D. 
increasing for x < 0 and decreasing for x > 0 


Hint 


16. 
Determine the intervals on which the function f(x) = is increasing and the intervals on which the function is decreasing. 


A. 
increasing for x < 1 and x > 1 


B. 
decreasing for x < 1 and increasing for x > 1 


C. 
increasing for all x 


D. 
increasing for x < 1 and decreasing for x > 1 


Hint 


17. 
The function f(x) = (x  3)^{2} + 4 has a critical point at x = 3. Determine and classify this point. 


A. 
(3,4) is the relative maximum of this function. 


B. 
(3,4) is the absolute minimum of this function. 


C. 
(3,4) is the point of inflection. 


D. 
(3,4) is the absolute maximum of this function. 


Hint 


18. 
Determine the equation of the vertical asymptote for the function: f(x) = + 2. 


A. 
x = 2 
B. 
x = 2 


C. 
y = 0 
D. 
x = 0 


Hint 


19. 
Graph the function 


A. 

B. 



C. 

D. 



Hint 


20. 
If y varies directly as the square root of x and x = 25 when y = 15, find x when y = 108. 


A. 
x = 4500 
B. 
x = 6 


C. 
x = 1500 
D. 
x = 5 


Hint 

