

1. 
State the domain and the range of the relation {(1, 2), (4, 2), and (3, 5)}. Then state whether the relation is a function. 


A. 
The domain is {2, 5}, the range is {4, 1, 3}, and the relation is a function. 
B. 
The domain is {4, 1, 3}, the range is {2, 5}, and the relation is a function. 


C. 
The domain is {2, 5}, the range is {4, 1, 3}, and the relation is not a function. 
D. 
The domain is {4, 1, 3}, the range is {2, 5}, and the relation is not a function. 


Hint 


2. 
State the domain of the function 


A. 
all real numbers except 0 and 3 
B. 
all real numbers except 0 


C. 
all real numbers except 3 
D. 
all real numbers except 0, 1, and 3 


Hint 


3. 
If you use the substitution method to solve the system of equations 3x  2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5  y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5  x for y into the first equation.



A. 
Neither Method I nor Method II is correct. 
B. 
Method II 


C. 
Method I 
D. 
Both Method I and Method II are correct. 


Hint 


4. 



A. 

B. 



C. 

D. 



Hint 


5. 
Triangle ABC has vertices A(7, 2), B(3, 1), and C(1, 4). Find the image of the triangle after a reflection over the xaxis. 


A. 
A'(7, 2), B'(3, 1), C'(1, 4) 
B. 
A'(2, 7), B'(1, 3), C'(4, 1) 


C. 
A'(7, 2), B'(3, 1), C'(1, 4) 
D. 
A'(7, 2), B'(1, 3), C'(1, 4) 


Hint 


6. 
Which of the following shows the system of equations using a matrix equation? 





A. 

B. 



C. 

D. 



Hint 


7. 
What are the vertices of the triangle formed? 





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


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


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


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


Hint 


8. 
Which is an even function? 


A. 
y = x^{2} 
B. 
y = x 


C. 
y = 2x  1 
D. 
y = x 


Hint 


9. 
Which is the graph of y x^{3} + 1? 


A. 

B. 



C. 

D. 



Hint 


10. 
Determine whether the function f(x) = 2x^{2}  x + 2 is continuous at x = 2. 


A. 
Yes, because the function is defined at x = 2. 
B. 
Yes, because the function approaches the same yvalue 8 on the left and right sides of x = 2. 


C. 
None of these are correct. 
D. 
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. 


Hint 


11. 
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 > 2, and the function is decreasing for x < 2. 


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


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


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


Hint 


12. 
State the domain and range of the relation. Then state whether the relation is a function.{(2,1), (2,4), (2,5), (3,6)} 


A. 
Domain {1,4,5,6}Range {2,2,3}The relation is a function. 


B. 
Domain {2,2,3} Range {1,4,5,6}The relation is not a function. 


C. 
Domain {1,4,5,6}Range {2,2,3} The relation is not a function. 


D. 
Domain {2,2,3} Range {1,4,5,6} The relation is a function. 


Hint 


13. 
Find the x and yintercepts of the equation: 


A. 
xintercept 5; yintercept 2 
B. 
xintercept –5; yintercept 2 


C. 
xintercept –2; y intercept 5 
D. 
xintercept 2; yintercept 5 


Hint 


14. 
Use two ordered pairs to write the equation of a bestfit line. 





A. 
y = 5x 
B. 
y = 3x + 72 


C. 
y = 3x 
D. 
y = 5x + 75 


Hint 


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


A. 
none of these 
B. 
Consistent and dependent 


C. 
Consistent and independent 
D. 
Inconsistent 


Hint 


16. 



A. 
impossible 
B. 



C. 

D. 



Hint 


17. 
The image of after Rot_{180} · Ryaxis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? 


A. 
none of these 
B. 
reflection over the xaxis 


C. 
reflection over the line y = x 
D. 
reflection over the yaxis 


Hint 


18. 
Given the function f(x) = , is the inverse a function? How do you know? 


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


C. 
Yes, this function fails the horizontal line test. 
D. 
No, this function passes the horizontal line test. 


Hint 


19. 
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 x < 0 and x > 0 


B. 
increasing for all x 


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


D. 
decreasing for all x 


Hint 


20. 
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. 
extremum 


C. 
point of inflection 


D. 
minimum 


Hint 

