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1. |
Determine the symmetry of f(x) = x7. |
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A. |
symmetric with respect to only the y-axis |
B. |
not symmetric |
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C. |
symmetric with respect to the origin |
D. |
symmetric with respect to only the x-axis |
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Hint |
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2. |
Sketch the graph of the function f(x) = |x2 - 6|. |
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A. |
 |
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B. |
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C. |
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D. |
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Hint |
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3. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Find the period of the function y = csc  - 5. |
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A. |
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B. |
4 |
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C. |
8 |
D. |
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Hint |
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5. |
Simplify cos x tan x. |
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A. |
csc x |
B. |
sin x |
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C. |
1 |
D. |
cos x |
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Hint |
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6. |
Find the value of sin (x + y) if  , sin x =  , and
sin y =  . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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7. |
Find the magnitude of the vector from X(-4, 7) to Y(3, -4). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
Write  as a sum of unit vectors for A(3, -1) and B(8, 6). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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9. |
The cross product of two vectors is _______. |
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A. |
not a vector |
B. |
a dot product |
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C. |
parallel to both vectors |
D. |
perpendicular to both vectors |
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Hint |
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10. |
Solve the system of equations x + 2 = 0 and y2 = 36 - x2 algebraically. Round to the nearest tenth. |
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A. |
(-2, -5.7) |
B. |
(-2, 5.7) |
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C. |
(±2, 5.7) |
D. |
(-2, ±5.7) |
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Hint |
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11. |
For the graph of y = bx, the domain is _____. |
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A. |
all real numbers > 0 |
B. |
all real numbers  |
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C. |
all real numbers  |
D. |
all real numbers |
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Hint |
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12. |
Which equation is represented by the graph? |
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A. |
y = -2e-x |
B. |
y = 2ex |
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C. |
y = -2ex |
D. |
y = 2e |
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Hint |
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13. |
Which is the graph of the inequality y > |2x + 1| ? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
Solve the system of 3 equations by substitution. x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6 |
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A. |
no solution |
B. |
(1, 3, -4) |
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C. |
infinite solutions |
D. |
(8, 4, -2) |
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Hint |
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15. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
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A. |
infinite solutions |
B. |
(3, 4, 2) |
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C. |
(2, -5, 3) |
D. |
no solution |
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Hint |
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16. |
The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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17. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
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A. |
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B. |
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C. |
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D. |
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Hint |
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18. |
Sketch the graph of the function f(x) =  (x + 1)3 + 2. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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19. |
If both the initial and terminal points of a vector are at the origin, the vector is __________. |
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A. |
linearly independent |
B. |
negative |
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C. |
positive |
D. |
the zero vector |
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Hint |
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20. |
Find the product  . Express the result in rectangular form. |
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A. |
-54i |
B. |
54i |
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C. |
-54 |
D. |
54 |
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Hint |
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