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1. |
State the domain and range of the relation. |
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A. |
All real numbers are included in the domain, and 3 is included in the range. |
B. |
All real numbers are included in the domain and the range. |
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C. |
3 is included in the domain, and 3 is included in the range. |
D. |
3 is included in the domain, and all real numbers are included in the range. |
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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. |
relation and function |
D. |
not a relation but a function |
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Hint |
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3. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
5 |
B. |
-35 |
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C. |
-3 |
D. |
37 |
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Hint |
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4. |
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. |
8.5x + 300 |
B. |
8.5x - 300 |
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C. |
7.5x + 300 |
D. |
7.5x - 300 |
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Hint |
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5. |
Rewrite the equation 3x + y = 7 in slope-intercept form. |
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A. |
y = -3x + 7 |
B. |
y = 7x + 3 |
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C. |
y = 3x - 7 |
D. |
y = -3x - 7 |
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Hint |
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6. |
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 + 2 |
B. |
y = -3x + 14 |
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C. |
y = -3x + 4 |
D. |
y = -3x - 8 |
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Hint |
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7. |
Determine whether the graphs of the pair of equations 2x + 3y = 6 and 4x + 6y = 5 are parallel, coinciding, or neither. |
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A. |
neither |
B. |
all are correct |
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C. |
parallel |
D. |
coinciding |
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Hint |
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8. |
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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9. |
Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0. |
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A. |
2x> + 3y - 14 = 0 |
B. |
2x + 3y + 14 = 0 |
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C. |
3x - 2y - 14 = 0 |
D. |
3x - 2y + 14 = 0 |
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Hint |
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10. |
Which is a graph of f(x) = |3x| - 1? |
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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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11. |
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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12. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x3 –5x2 +3x -15 |
B. |
x3 +5x2 +3x-15 |
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C. |
4x3 –2x |
D. |
x2 –2x-15 |
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Hint |
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13. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
= 0
= 2
= 4 |
B. |
= 2
= 6
= 36 |
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C. |
= 2
= 6
= 12 |
D. |
= 2
= 6
= 42 |
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Hint |
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14. |
Write an equation in slope-intercept form with a slope of that passes through the point (-3, -5). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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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 opposite reciprocals. |
B. |
The slopes are opposites. |
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C. |
The slopes are reciprocals. |
D. |
The slopes are the same. |
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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. |
What type of relationship does the scatter plot suggest? |
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A. |
a linear relationship with a negative correlation |
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B. |
no correlation |
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C. |
a linear relationship with a positive correlation |
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D. |
no linear relationship |
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Hint |
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18. |
Which of the following graphs represents 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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19. |
What is the value of y when x = 2? |
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A. |
undefined |
B. |
0 |
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C. |
1 |
D. |
2 |
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Hint |
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20. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee. What type of function best represents this situation? |
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A. |
absolute value function |
B. |
piecewise function |
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C. |
greatest integer function |
D. |
step function |
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Hint |
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