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1. |
State the domain of the function  |
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A. |
all real numbers except 0 and 3 |
B. |
all real numbers except 0 |
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C. |
all real numbers except 3 |
D. |
all real numbers except 0, 1, and 3 |
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Hint |
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2. |
Find (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
12x2 + 36x + 28 |
B. |
12x2 - 36x + 28 |
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C. |
6x2 - 5 |
D. |
6x2 + 5 |
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Hint |
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3. |
Graph the equation y =  |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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4. |
Determine whether the graphs of the pair of equations 3x - 2y = 7 and 3x + 2y = 7 are parallel, coinciding, or neither. |
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A. |
parallel |
B. |
all are correct |
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C. |
coinciding |
D. |
neither |
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Hint |
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5. |
Which is the graph of f(x) = [[2x]]? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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6. |
The cost of producing an item is $5 per item plus an initial cost of $2000. The selling price is $10 per item. Find the break-even point. |
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A. |
4000 items |
B. |
4500 items |
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C. |
450 items |
D. |
400 items |
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Hint |
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7. |
Find the inverse of . |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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8. |
If you use the parent graph y = x2 as a reference, describe how you would graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
B. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
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C. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
D. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
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Hint |
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9. |
Use the parent graph f(x) = to graph the function g(x) = ; identify the new location of each asymptote. |
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A. |
The vertical asymptote is at x = -3, and the horizontal asymptote is at y = 0. |
B. |
The vertical asymptote is at x = 0, and the horizontal asymptote is at y = -3. |
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C. |
The vertical asymptote is at x = 3 and the horizontal asymptote is at y = 1. |
D. |
none of these |
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Hint |
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10. |
The factors of x2 - 8x - 20 = 0 are ____. |
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A. |
(x - 2) and (x + 10) |
B. |
(x + 2) and (x - 10) |
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C. |
(x + 2) and (x + 10) |
D. |
(x - 2) and (x - 10) |
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Hint |
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11. |
Solve the equation 2x2 -x + 4 = 0 by any method. |
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A. |
i |
B. |
i |
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C. |
1 i |
D. |
i |
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Hint |
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12. |
Find the rational zeros of the equation 2x4 - x3 - 21x2 + 9x + 27 = 0. |
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A. |
3, -3, -1,  |
B. |
3, 1, -1,  |
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C. |
3, -3, -1,  |
D. |
3, 1, -1,  |
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Hint |
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13. |
Use a graphing calculator to write a polynomial function to model the set of data. |
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A. |
0.9x - 1.3 |
B. |
0.9x + 1.3 |
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C. |
1.3x - 0.9 |
D. |
1.3x + 0.9 |
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Hint |
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14. |
Find the domain of f(g(x)) given f(x) = , and g(x) = x-1 |
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A. |
x 1 |
B. |
x 1,-1 |
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C. |
all real numbers |
D. |
x 0, 1, -1 |
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Hint |
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15. |
How can you tell if two lines are perpendicular? |
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A. |
The slopes are opposites. |
B. |
The slopes are reciprocals. |
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C. |
The slopes are the same. |
D. |
The slopes are opposite reciprocals. |
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Hint |
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16. |
Write the equation of the line that is parallel to 2x - 3y - 15 = 0 and that passes through the point (3,4). |
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A. |
2x - 2y + 6 = 0 |
B. |
2x - 3y + 6 = 0 |
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C. |
2x + 3y + 6 = 0 |
D. |
2x + 5 - 3 = 0 |
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Hint |
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17. |
Find the value of the determinant . |
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A. |
-29 |
B. |
-43 |
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C. |
-3 |
D. |
-25 |
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Hint |
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18. |
Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know? |
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A. |
Yes, fails the horizontal line test. |
B. |
No, fails the vertical line test. |
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C. |
No, fails the horizontal line test. |
D. |
Yes, passes the vertical line test. |
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Hint |
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19. |
Determine the type of discontinuity this function exhibits.
 |
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A. |
infinite discontinuity |
B. |
none of these |
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C. |
jump discontinuity |
D. |
point discontinuity |
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Hint |
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20. |
Determine the equation of the horizontal asymptote for the function: f(x) = + 2. |
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A. |
x = 0 |
B. |
y = 0 |
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C. |
y = -2 |
D. |
y = 2 |
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Hint |
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