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1. |
State the domain of the function  |
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A. |
all real numbers except 0 |
B. |
all real numbers except 3 |
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C. |
all real numbers except 0 and 3 |
D. |
all real numbers except 0, 1, and 3 |
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Hint |
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2. |
Which is the graph of f(x) = [[2x]]? |
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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. |
Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing. |
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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. |
Solve the system of equations by substitution.
x = z x - 2y + z = 6 2x + y - 2z = 1
What is the value of x + y + z? |
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A. |
9 |
B. |
11 |
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C. |
10 |
D. |
8 |
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Hint |
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5. |
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. |
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A. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
B. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
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C. |
A'(1, -2), B'(5, -3), C'(2, -6) |
D. |
A'(-2, -1), B'(-3, -5), C'(-6, -2) |
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Hint |
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6. |
Which of the following shows the system of equations using a matrix equation? |
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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. |
Determine the symmetry of f(x) = x7. |
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A. |
symmetric with respect to only the y-axis |
B. |
symmetric with respect to the origin |
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C. |
not symmetric |
D. |
symmetric with respect to only the x-axis |
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Hint |
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8. |
Determine whether the function f(x) = is continuous at x = 1. |
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A. |
Yes, it is continuous at x = 1, but not at x = -1. |
B. |
None is correct. |
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C. |
Yes, the inability to divide by 0 has no bearing on this problem. |
D. |
No, because substituting x = 1 results in a denominator of 0. |
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Hint |
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9. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
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A. |
relative minimum: (1.38, -0.6); relative maximum: (0.6, 0.62) |
B. |
relative minimum: (-0.6, 1.38); relative maximum: (0.6, 0.62) |
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C. |
relative maximum: (-0.6, 1.38); relative minimum: (0.6, 0.62) |
D. |
relative maximum: (1.38, -0.6); relative minimum (0.6, 0.62) |
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Hint |
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10. |
Use the parent graph f(x) = to graph the function k(x) = ; identify the new location of each asymptote. |
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A. |
y = 5 |
B. |
x = 2 |
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C. |
y = 2 |
D. |
x = 5 |
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Hint |
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11. |
Graph 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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12. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
= 2
= 6
= 12 |
B. |
= 0
= 2
= 4 |
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C. |
= 2
= 6
= 36 |
D. |
= 2
= 6
= 42 |
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Hint |
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13. |
Write an equation in slope-intercept form with a slope of that passes through the point (-3, -5). |
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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. |
Which is the graph of the compound inequality 0 x + y 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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15. |
Choose the best method to solve the system of equations 4x + y = 6 and 2x - y = 10. |
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A. |
Eliminate x |
B. |
Eliminate y |
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C. |
Graphing |
D. |
Substitution |
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Hint |
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16. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = 4, y = 2 |
B. |
x = 2, y = 3 |
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C. |
x = 3, y = 2 |
D. |
x = 1, y = 0 |
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Hint |
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17. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(0,7) |
B. |
(0,0) |
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C. |
(1,5) |
D. |
(3,7) |
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Hint |
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18. |
Solve |4 - x| < 0. |
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A. |
{x|x > 4} |
B. |
no solution |
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C. |
all real numbers |
D. |
{x|x < 4} |
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Hint |
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19. |
Determine the type of discontinuity this function exhibits.
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A. |
point discontinuity |
B. |
none of these |
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C. |
infinite discontinuity |
D. |
jump discontinuity |
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Hint |
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20. |
Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing. |
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A. |
decreasing for all x |
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B. |
increasing for all x |
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C. |
increasing for x < 0 and x > 0 |
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D. |
increasing for x < 0 and decreasing for x > 0 |
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Hint |
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