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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 3 |
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C. |
all real numbers except 0 |
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. |
6x2 - 5 |
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C. |
6x2 + 5 |
D. |
12x2 - 36x + 28 |
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Hint |
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3. |
State the domain of (x) for f(x) = and g(x) =  |
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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. |
Which is the best prediction equation for the data? |
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A. |
y = 10x - 19,950 |
B. |
y = 5x - 19,950 |
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C. |
y = 20x - 19,950 |
D. |
y = 25x - 19,950 |
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Hint |
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5. |
Which is the graph of the inequality y |x - 3|? |
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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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6. |
The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions. |
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A. |
All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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B. |
All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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C. |
All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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D. |
All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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Hint |
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7. |
Three planes can |
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A. |
intersect at one point. |
B. |
intersect in a line. |
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C. |
have no points in common. |
D. |
All of the choices are true. |
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Hint |
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8. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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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. |
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 x-axis. |
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A. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
B. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
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C. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
D. |
A'(7, -2), B'(3, 1), C'(1, -4) |
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Hint |
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10. |
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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11. |
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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12. |
Which is an even function? |
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A. |
y = x2 |
B. |
y = 2x - 1 |
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C. |
y = -x |
D. |
y = x |
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Hint |
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13. |
Which is the graph of y x3 + 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 |x + 4| > 2. |
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A. |
-6 < x < -2 |
B. |
x < -6 |
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C. |
x > -6 or x < -2 |
D. |
x < -6 or x > -2 |
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Hint |
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15. |
Graph y = 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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16. |
Find the inverse of . |
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A. |
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B. |
does not exist |
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C. |
0 |
D. |
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Hint |
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17. |
Find the inverse of . |
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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. |
Find the minimum value of f(x, y) = x - 4y for the system of inequalities. 2x + y 3 2x + y -2 y 4 x < 1 |
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A. |
16 |
B. |
-16 |
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C. |
-3 |
D. |
-17 |
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Hint |
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19. |
Describe the end behavior of this function:
 |
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A. |
y as x , y as x  |
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B. |
y 0 as x , y 0 as x  |
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C. |
y 3 as x , y 3 as x  |
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D. |
y -2 as x , y -2 as x  |
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Hint |
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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. |
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A. |
maximum |
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B. |
minimum |
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C. |
extremum |
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D. |
point of inflection |
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Hint |
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