1. | Describe the graph. | |||||

relation and function | neither a relation nor a function | |||||

not a relation but a function | relation but not function | |||||

Hint | ||||||

2. | Given f(x) = x^{2} + 1 and g(x) = 2x - 1, find (f - g)(x). |
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x^{2} - 2x + 1 |
x^{2} - 2x - 1 |
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x^{2} + 2x |
x^{2} - 2x + 2 |
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Hint | ||||||

3. | Find the first three iterates, x_{1}, x_{2}, and x_{3}, of the functionf(x) = 3x - 1 for an initial value x_{0}=1. |
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8, 23, 88 | -4, -13, -40 | |||||

5, 14, 41 | 2, 5, 14 | |||||

Hint | ||||||

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. | |||||

47,500 people per year | 475 people per year | |||||

47.5 or about 48 people per year | 4750 people per year | |||||

Hint | ||||||

5. | Find the zero of the function f(x) = -8x + 4. |
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-2 | ||||||

2 | ||||||

Hint | ||||||

6. | Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
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y = 800x - 4500 |
y = 4500x + 800 |
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y = 800x + 4500 |
y = 4500x - 800 |
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Hint | ||||||

7. | Determine whether the graphs of the pair of equations 2 x + 3y = 6 and 4x + 6y = 5are parallel, coinciding, or neither. |
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coinciding | neither | |||||

all are correct | parallel | |||||

Hint | ||||||

8. | Determine the equation of the perpendicular bisector of the line segment with endpoints S(2, 6) and T(10, -4). |
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4x - 5y + 19 = 0 |
5x + 4y + 19 = 0 |
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5x - 4y - 19 = 0 |
4x - 5y - 19 = 0 |
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Hint | ||||||

9. | Which is the graph of the inequality x + 2y - 2 0? |
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Hint | ||||||

10. | 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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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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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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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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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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Hint | ||||||

11. | State the domain and range of the relation. Then state whether the relation is a function.{(2,-1), (-2,4), (2,5), (3,6)} | |||||

Domain {-1,4,5,6}Range {-2,2,3}The relation is a function. | ||||||

Domain {-2,2,3} Range {-1,4,5,6}The relation is not a function. | ||||||

Domain {-1,4,5,6}Range {-2,2,3} The relation is not a function. | ||||||

Domain {-2,2,3} Range {-1,4,5,6} The relation is a function. | ||||||

Hint | ||||||

12. | Write an equation of the line that passes through the points (-2, 4) and (6, -4). | |||||

Hint | ||||||

13. | Graph the data on a scatter plot. | |||||

Hint | ||||||

14. | Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. | |||||

Paul's test scores are neither increasing nor decreasing. | ||||||

Paul's test scores improve an average of 15 points with each test. | ||||||

Paul's test scores improve an average of 5 points with each test. | ||||||

Paul's test scores improve an average of 3 points with each test. | ||||||

Hint | ||||||

15. | Which of the following graphs represents the function: | |||||

Hint | ||||||

16. | 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? | |||||

piecewise function | absolute value function | |||||

greatest integer function | step function | |||||

Hint | ||||||