1. Classify each number as one or more of the following: natural number, integer, rational number; or irrational number. ,,,,,

Transcription

1 1. Classify each number as one or more of the following: natural number, integer, rational number; or irrational number.,,,,, What are the natural numbers in this list? (Use commas to separate answers. Type N if there is no solution.) What are the integers in this list? (Use commas to separate answers. Type N if there is no solution.) What are the rational numbers in this list? (Use commas to separate answers. Type N if there is no solution.) What are the irrational numbers in this list? (Use commas to separate answers. Type N if there is no solution.) 2. Convert to scientific notation. (Type your answer in scientific notation.) 3. Write in standard notation. (Simplify your answer. Type an integer or a decimal.) Page 1 of 9

2 4. Divide and write the answer in scientific notation. (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest thousandth as needed.) 5. For some jobs, employees are paid time and a half for every hour worked over 40 hours and double time for all hours worked on Sunday. Suppose an employee's regular pay is per hour. Find the pay for working hours from Monday through Saturday and on Sunday. The employee would be paid $. 6. A drop of oil measuring cubic centimeter is spilled onto a lake. The oil spreads out into a circular shape having a diameter of cm. Approximate the thickness of the film. The film is approximately cm thick. (Use scientific notation. Round to the nearest hundredth.) 7. For the table of data, find the domain and range. x 5 y 2 1 The domain is { }. (Use a comma to separate answers as needed.) The range is { }. (Use a comma to separate answers as needed.) Page 2 of 9

3 8. Find the distance between the pair of points. (, ) and (, ) The distance is. (Round to the nearest thousandth.) 9. The outstanding balances on a particular charge card totaled $ billion in and billion in. Estimate the debt in. The debt in is estimated to be $ billion. 10. Find the midpoint of the segment with the given endpoints. (, ) and (, ) The midpoint is. (Type an ordered pair. Type an integer or a decimal.) 11. Find the maximum and minimum of the x-values and of the y-values, for the relation given below. {(, ),(, ),(, ),(, ),(, )} The maximum of the x-values is and the minimum is. The maximum of the y-values is and the minimum is. Page 3 of 9

4 12. Graph the equation by plotting points. y x Choose the correct graph on the right. 13. Graph by hand. Support your answer with a graphing calculator. Choose the correct graph below. Page 4 of 9

5 14. Evaluate the function (x) for the indicated values of x, if possible. Then find the domain of. (x) x ; x 0,,, (0) (Type N if the solution is not a real number.) ( ) (Type N if the solution is not a real number.) ( ) (Type N if the solution is not a real number.) ( ) (Type N if the solution is not a real number.) What is the domain of? 15. Evaluate the function f(x) for the indicated values of x, if possible. Then find the domain of x. f(x) x x 1; x, (Type N if the solution is not a real number.) (Type N if the solution is not a real number.) What is the domain of f? Page 5 of 9

6 16. Use the graph of the function f to find, and. 17. The graph shows the function f(x). Use the graph of f to estimate its domain and range. What is the domain of f(x)? What is the range of f(x)? Page 6 of 9

7 18. Use the graph of the function f to find, and. 19. Use f(x) to find a verbal, graphical, and numerical representation. f(x) x Which of the following is a verbal representation of f(x)? Choose the correct graph. Complete the table for the values of f(x). Page 7 of 9

8 20. Determine if the graph is a function. Also, give the domain and range. Is this the graph of a function? Choose the correct domain. Choose the correct range. 21. Determine whether the relation is a function. c {(, ),(, ),(, ),(, )} Is the relation a function? 22. Find the slope of the line containing the pair of points. (, ) and (, ) The slope of the line is. (Simplify your answer. Type an integer or a fraction.) Page 8 of 9

9 23. The winning times for the 200-meter dash can be approximated by f(x) x, where x is the year. What is the slope of f? Interpret the slope. What is it saying about every year? Over a four-year period, what are the winning times expected to do? 24. Determine whether f could be a linear function. Could f be a linear function? 25. Determine if f(x) x is linear. Is this function linear? Page 9 of 9

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