| |
| |
1. |
Describe the graph. |
| |
|
 |
| |
|
A. |
neither a relation nor a function |
B. |
relation but not function |
| |
|
C. |
relation and function |
D. |
not a relation but a function |
| |
|
Hint |
|
| |
2. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
| |
|
A. |
the y-axis |
B. |
neither the x-axis nor the y-axis |
| |
|
C. |
the x-axis |
D. |
both the x-axis and the y-axis |
| |
|
Hint |
|
| |
3. |
Determine the number of complex zeros of the function f(x) = x5 - 4x2 + 2x - 1. |
| |
|
A. |
4 |
B. |
5 |
| |
|
C. |
2 |
D. |
3 |
| |
|
Hint |
|
| |
4. |
Find sin 5 by referring to the graph of the sine function. |
| |
|
 |
| |
|
A. |
-1 |
B. |
1 |
| |
|
C. |
0 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Solve cos x - 1 = 0 for all real values of x. |
| |
|
A. |
+ 2 k, +2 k |
B. |
+2 k, + 2 k |
| |
|
C. |
+ k |
D. |
+2 k, + 2 k |
| |
|
Hint |
|
| |
6. |
Find if and . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Which conic section could have an eccentricity e = 1.75? |
| |
|
A. |
hyperbola |
B. |
circle |
| |
|
C. |
parabola |
D. |
ellipse |
| |
|
Hint |
|
| |
8. |
Evaluate . |
| |
|
A. |
4 |
B. |
3 |
| |
|
C. |
8 |
D. |
2 |
| |
|
Hint |
|
| |
9. |
Express the series 4 + 7 + 10 + 13 using sigma notation. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
What type of relationship does the scatter plot suggest? |
| |
|
 |
| |
|
A. |
a linear relationship with a negative correlation |
| |
|
B. |
no correlation |
| |
|
C. |
no linear relationship |
| |
|
D. |
a linear relationship with a positive correlation |
| |
|
Hint |
|
| |
11. |
Which is the graph of the inequality y > |2x + 1| ? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Determine the equation of the vertical asymptote for the function: f(x) = + 2. |
| |
|
A. |
x = 0 |
B. |
x = 2 |
| |
|
C. |
x = -2 |
D. |
y = 0 |
| |
|
Hint |
|
| |
13. |
Complete the identity = _______. |
| |
|
A. |
sec x |
B. |
-cos x |
| |
|
C. |
tan x |
D. |
sin x |
| |
|
Hint |
|
| |
14. |
If angles x and y are between 0° and 180° such that cos x = - and cos y = , what is the value of sin (x + y)? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
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 x-axis. |
| |
|
A. |
x + y - 19 = 0 |
| |
|
B. |
x - y + 19 = 0 |
| |
|
C. |
x + y - 38 = 0 |
| |
|
D. |
x - y + 38 = 0 |
| |
|
Hint |
|
| |
16. |
If is the vector from the origin to point P(4, 5, 1), and is the vector from the origin to point Q(-2, -9, 0), what is the ordered triple that represents ? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
17. |
In physics, you can determine how much force with which an object is sliding down a frictionless incline by adding the gravitational force vector and the ''normal force'' vector. The normal force vector is always directed up out of the incline perpendicular to it (90° more than the measure of the incline). The magnitude m of the normal force can be calculated by m = f cos , where f is the gravitational force and is the angle measure of the incline. If a gravitational force (always straight down) of 50 N is being exerted on an object on a 25° incline, what is the magnitude of the force with which it is sliding down the incline? |
| |
|
 |
| |
|
A. |
50 N |
B. |
21.1 N |
| |
|
C. |
45.3 N |
D. |
93.1 N |
| |
|
Hint |
|
| |
18. |
Another name for the absolute value of a complex number is the _______________. |
| |
|
A. |
argument |
B. |
amplitude |
| |
|
C. |
real part |
D. |
modulus |
| |
|
Hint |
|
| |
19. |
Identify the conic section with equation y2 = x + 2y - 16. |
| |
|
A. |
ellipse |
B. |
hyperbola |
| |
|
C. |
circle |
D. |
parabola |
| |
|
Hint |
|
| |
20. |
Find the sum . |
| |
|
A. |
12 |
B. |
8 |
| |
|
C. |
0 |
D. |
The sum does not exist. |
| |
|
Hint |
|
|
|