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1. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
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A. |
x2 - 2x - 1 |
B. |
x2 - 2x + 1 |
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C. |
x2 - 2x + 2 |
D. |
x2 + 2x |
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Hint |
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2. |
Which is the graph of the inequality x + 2y - 2 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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3. |
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 x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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B. |
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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C. |
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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D. |
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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Hint |
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4. |
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. |
400 items |
B. |
4500 items |
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C. |
450 items |
D. |
4000 items |
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Hint |
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5. |
Solve the system of equations y = 0.5x and 4y = x - 2 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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6. |
Sketch the graph of the function f(x) = |x2 - 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. |
Solve |x - 1| - 8 < 3. |
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A. |
{x | -4 < x < 3} |
B. |
{x | -10 < x < 12} |
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C. |
{x | -8 < x < 10} |
D. |
{x | 5 < x < 10} |
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Hint |
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8. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
Yes, because the function is defined at x = 2. |
B. |
Yes, because the function approaches the same y-value 8 on the left and right sides of x = 2. |
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C. |
None of these are correct. |
D. |
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. |
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Hint |
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9. |
Solve . |
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A. |
1 |
B. |
2 |
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C. |
3 |
D. |
0 |
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Hint |
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10. |
How many direction changes are there in the graph of a linear equation? |
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A. |
3 |
B. |
0 |
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C. |
1 |
D. |
2 |
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Hint |
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11. |
Using Snell's Law, = n, and = 40° and = 35° 15', find the index of refraction, n. (Use a calculator.) |
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A. |
about 1.0660 |
B. |
about 1.1137 |
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C. |
about 0.8979 |
D. |
about 0.9380 |
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Hint |
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12. |
Given and a = 5, b = 2 and A = 115°, find B. |
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A. |
22.5° |
B. |
31.7° |
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C. |
14.6° |
D. |
21.3° |
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Hint |
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13. |
Find the area of if a = 5, b = 8, and c = 10. |
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A. |
about 15.2 square units |
B. |
about 19.8 square units |
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C. |
about 7.6 square units |
D. |
about 39.6 square units |
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Hint |
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14. |
In Hero's Formula, to find the area of a triangle, s in the formula represents ______. |
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A. |
the perimeter of the triangle |
B. |
the sum of any two of the three sides of the triangle |
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C. |
none of these |
D. |
the semiperimeter of the triangle |
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Hint |
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15. |
Write an equation for a secant function with period 2 , phase shift , and vertical shift 1. |
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A. |
y = sec + 1 |
B. |
y = sec - 1 |
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C. |
y = sec + 1 |
D. |
y = sec - 1 |
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Hint |
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16. |
How can you tell if two lines are perpendicular? |
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A. |
The slopes are the same. |
B. |
The slopes are opposites. |
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C. |
The slopes are opposite reciprocals. |
D. |
The slopes are reciprocals. |
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Hint |
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17. |
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A. |
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B. |
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C. |
impossible |
D. |
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Hint |
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18. |
Given the function f(x) = , is the inverse a function? How do you know? |
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A. |
Yes, this function fails the horizontal line test. |
B. |
No, this function passes the horizontal line test. |
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C. |
Yes, this function passes the vertical line test. |
D. |
No, this function fails the horizontal line test. |
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Hint |
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19. |
Describe the end behavior of the function: f(x) = x4 - x3 + x2 + x - 1 |
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A. |
f(x) as x , f(x) as x  |
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B. |
f(x) as x , f(x) as x  |
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C. |
f(x) as x , f(x) as x  |
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D. |
f(x) as x , f(x) as x  |
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Hint |
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20. |
The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point. |
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A. |
(3,4) is the absolute maximum of this function. |
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B. |
(3,4) is the relative maximum of this function. |
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C. |
(3,4) is the absolute minimum of this function. |
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D. |
(3,4) is the point of inflection. |
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Hint |
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