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1. |
State the domain and the range of the relation {(1, 2), (-4, 2), and (3, 5)}. Then state whether the relation is a function. |
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A. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
B. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
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C. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is a function. |
D. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
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Hint |
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2. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
-35 |
B. |
-3 |
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C. |
37 |
D. |
5 |
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Hint |
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3. |
The revenue for the sale of x objects is r(x) = 8x. The cost of manufacturing x objects is c(x) = 0.5x + 300. Write the profit function. |
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A. |
7.5x + 300 |
B. |
8.5x + 300 |
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C. |
7.5x - 300 |
D. |
8.5x - 300 |
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Hint |
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4. |
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. |
475 people per year |
B. |
4750 people per year |
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C. |
47.5 or about 48 people per year |
D. |
47,500 people per year |
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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. |
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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7. |
Which of the following describes the system of equations 2x - y + 4 = 0 and 4x - 2y + 7 = 0? |
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A. |
none of these |
B. |
consistent and independent |
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C. |
inconsistent |
D. |
consistent and dependent |
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Hint |
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8. |
Determine the symmetry of f(x) = x7. |
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A. |
symmetric with respect to the origin |
B. |
symmetric with respect to only the y-axis |
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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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9. |
If you use the parent graph f(x) = x2, describe how you would graph g(x) = (x - 4)2 - 2. |
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A. |
Move the parent graph right 4 units and down 2 units. |
B. |
Move the parent graph right 4 units and up 2 units. |
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C. |
Move the parent graph left 4 units and down 2 units. |
D. |
Move the parent graph left 4 units and up 2 units. |
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Hint |
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10. |
Determine whether the function f(x) = is continuous at x = 1. |
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A. |
None is correct. |
B. |
No, because substituting x = 1 results in a denominator of 0. |
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C. |
Yes, it is continuous at x = 1, but not at x = -1. |
D. |
Yes, the inability to divide by 0 has no bearing on this problem. |
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Hint |
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11. |
Use the graphing calculator f(x) = x3 + x2 - x, and locate the relative maximum point. |
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A. |
(0.5, -0.292) |
B. |
(0, 0) |
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C. |
There is no relative maximum point. |
D. |
(-1, 0.833) |
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Hint |
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12. |
Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. |
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A. |
k = 6 |
B. |
k = 11 |
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C. |
k = -11 |
D. |
k = -13 |
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Hint |
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13. |
State the domain and range of the relation. |
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A. |
The domain includes just positive real numbers. The range includes all real numbers. |
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B. |
The domain and the range include all real numbers. |
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C. |
The domain includes all real numbers. The range includes all positive real numbers. |
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D. |
The domain includes negative real numbers. The range includes all real numbers. |
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Hint |
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14. |
Graph the equation 3x + 2y = 0 |
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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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15. |
Determine whether 3x - 5y + 1 = 0 and 6x - 10y + 2 = 0 are parallel, coinciding, or neither. |
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A. |
all are correct |
B. |
perpendicular |
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C. |
parallel |
D. |
coinciding |
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Hint |
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16. |
Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3). |
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A. |
14x + 4y + 19 = 0 |
B. |
2x + 7y + 23 = 0 |
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C. |
2x + 7y - 23 = 0 |
D. |
14x + 4y - 19 = 0 |
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Hint |
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17. |
Graph the equation  |
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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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18. |
 |
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A. |
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B. |
impossible |
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C. |
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D. |
 |
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Hint |
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19. |
The equation f(-x) = -f(x) is true for which statement? |
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A. |
both odd functions and relations symmetrical about the origin |
B. |
only even functions |
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C. |
only odd functions |
D. |
only functions with point symmetry |
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Hint |
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20. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(3,7) |
B. |
(1,5) |
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C. |
(0,7) |
D. |
(0,0) |
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Hint |
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