

1. 
For which line(s) is the graph of symmetric? 


A. 
x = 3 and y = 1 
B. 
y = 1 


C. 
x = 3 
D. 
y = 1 


Hint 


2. 
Sketch the graph of the function f(x) = x^{2}  6. 


A. 



B. 



C. 



D. 



Hint 


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


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


B. 
none of these 


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


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


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


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


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


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


Hint 


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


A. 
none of these 
B. 
The vertical asymptote is at x = 3 and the horizontal asymptote is at y = 1. 


C. 
The vertical asymptote is at x = 3, and the horizontal asymptote is at y = 0. 
D. 
The vertical asymptote is at x = 0, and the horizontal asymptote is at y = 3. 


Hint 


6. 
Which is an odd function? 


A. 

B. 



C. 

D. 



Hint 


7. 
If you use y = x^{3} as a reference graph, describe how you would graph y = (x + 3)^{3}  4. 


A. 
Move 3 units down, then move 4 units to the right. 
B. 
Move 3 units to the right, then 4 units down. 


C. 
Move 3 units up, then move 4 units to the left. 
D. 
Move 3 units to the left, then 4 units down. 


Hint 


8. 
Determine which ordered pair is a solution of the inequality y > 3x  4 + 3. 


A. 
(0,0) 
B. 
(3,7) 


C. 
(0,7) 
D. 
(1,5) 


Hint 


9. 
Which is the graph of y > (x  3)^{2}? 


A. 

B. 



C. 

D. 



Hint 


10. 
Given the function f(x) = x^{2}  8x + 16, is the inverse a function? How do you know? 


A. 
No, fails the horizontal line test. 
B. 
Yes, passes the vertical line test. 


C. 
No, fails the vertical line test. 
D. 
Yes, fails the horizontal line test. 


Hint 


11. 
Graph the equation using the graph of the given parent function. y = 1 , p(x) = x^{2} 


A. 

B. 



C. 

D. 



Hint 


12. 
Use a graphing calculator to graph f(x) = x^{5} + x^{4}  x^{3} + 4 and to determine and classify the extrema. 


A. 
relative maximum (0.487, 3.968)relative minimum (1.24,5.34) 


B. 
relative maximum (2,4)relative minimum (0,4) 


C. 
relative maximum (1.27, 5.35)relative minimum (0.487, 3.968) 


D. 
relative minimum (2,4) relative maximum (0,4) 


Hint 


13. 
The function f(x) =  (x + 2)^{3}  3 has a critical point at x = 2. Determine whether this is the location of a maximum, minimum or a point of inflection. 


A. 
maximum 


B. 
point of inflection 


C. 
minimum 


D. 
extremum 


Hint 


14. 
Determine the equation of the horizontal asymptote for the function: f(x) = + 2. 


A. 
y = 2 
B. 
y = 0 


C. 
x = 0 
D. 
y = 2 


Hint 


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


A. 
x = 6 
B. 
x = 5 


C. 
x = 4500 
D. 
x = 1500 


Hint 


16. 
Which best describes this graph? 





A. 
direct variation 
B. 
joint variation 


C. 
none of these 
D. 
inverse variation 


Hint 

