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1. |
The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. |
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A. |
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B. |
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C. |
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D. |
None of these. |
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Hint |
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2. |
Describe the graph. |
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A. |
neither a relation nor a function |
B. |
relation but not function |
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C. |
not a relation but a function |
D. |
relation and function |
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Hint |
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3. |
The population of Abnerville was 12,500 people in 1950. In 2000, the population was 250,000. Find the average rate of increase in the population over the 50 year period. |
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A. |
47,500 people per year |
B. |
4750 people per year |
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C. |
475 people per year |
D. |
47.5 or about 48 people per year |
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Hint |
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4. |
Write an equation in slope-intercept form for the line with a slope -3 and passes through the point (4, 2). |
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A. |
y = -3x + 14 |
B. |
y = -3x + 2 |
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C. |
y = -3x - 8 |
D. |
y = -3x + 4 |
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Hint |
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5. |
Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0. |
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A. |
2x - 7y + 23 = 0 |
B. |
2x + 7y + 23 = 0 |
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C. |
2x + 7y - 23 = 0 |
D. |
2x - 7y - 23 = 0 |
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Hint |
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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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7. |
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A. |
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B. |
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C. |
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D. |
The product doesn't exist. |
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Hint |
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8. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A,/i>'(12, -6), B'(21, 3), C'(-9, -3) |
B. |
A'(21, 3), B'(12, -6), C'(-9, -3) |
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C. |
A'(9, -3), B'(12, -6), C'(21, 3) |
D. |
A'(-3, 9), B'(-6, 12), C'(3, 21) |
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Hint |
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9. |
What are the vertices of the triangle formed? |
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A. |
(100, 400), (400, 500), and (100, 800) |
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B. |
(100, 400), (500, 400), and (100, 800) |
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C. |
(100, 400), (400, 500), and (800, 100) |
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D. |
(100, 400), (500, 400), and (800, 100) |
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Hint |
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10. |
The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood. |
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A. |
P(x, y) = 60x - 40y |
B. |
P(x, y) = 40x - 60y |
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C. |
P(x, y) = 60x + 40y |
D. |
P(x, y) = 40x + 60y |
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Hint |
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11. |
Which is an even function? |
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A. |
y = x2 |
B. |
y = x |
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C. |
y = -x |
D. |
y = 2x - 1 |
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Hint |
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12. |
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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13. |
Describe the end behavior of f(x) = x2 + 1. |
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A. |
As x ,f(x) , and as x , f(x) . |
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B. |
As x , f(x) , and as x , f(x) . |
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C. |
none of these |
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D. |
As x , f(x) , and as x , f(x) . |
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Hint |
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14. |
Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing. |
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A. |
The function is increasing for x > -1, and the function is decreasing for x < -1. |
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B. |
The function is decreasing for x > 0, and the function is increasing for x < 0. |
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C. |
The function is increasing for x > 3, and the function is decreasing for x < 3. |
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D. |
The function is increasing for x > 2, and the function is decreasing for x < 2. |
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Hint |
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15. |
Find the zero of f(x) = 2x - 3, then graph the function. |
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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. |
Determine whether 3x - 5y + 1 = 0 and 6x - 10y + 2 = 0 are parallel, coinciding, or neither. |
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A. |
coinciding |
B. |
all are correct |
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C. |
perpendicular |
D. |
parallel |
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Hint |
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17. |
Use matrices to determine the coordinates of the image of
with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
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A. |
A'(3,4), B(5,2) and C'(6,5) |
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B. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
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C. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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D. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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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. |
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. |
(3,7) |
D. |
(1,5) |
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Hint |
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20. |
Describe the end behavior of this function:
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A. |
y 3 as x , y 3 as x  |
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B. |
y -2 as x , y -2 as x  |
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C. |
y as x , y as x  |
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D. |
y 0 as x , y 0 as x  |
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Hint |
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