1 / 70

MAC 1105

MAC 1105. Test 3 Review and Practice Solutions. MAC 1105 Test 3 Review 2.4 – 2.9, 3.1, 3.6, 3.8. You will need to have your own graphing calculator for the test. You may not share calculators or use any type of communication device in place of a calculator.

ceri
Download Presentation

MAC 1105

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MAC 1105 Test 3 Review and Practice Solutions

  2. MAC 1105 Test 3 Review 2.4 – 2.9, 3.1, 3.6, 3.8 • You will need to have your own graphing calculator for the test. • You may not share calculators or use any type of communication device in place of a calculator. • Tests cannot be made up for any reason other than an NWFSC event for which you must miss class. • If you miss one test, your final exam score will be substituted. A second missed test is a zero.

  3. Exam Topics

  4. To Study for the Test • Complete all assigned homework. Remember that a score of at least 70% on each assignment gives you 10 bonus points on the test. • Complete the practice test and check your solutions. • Set up a study system (note cards for example) for each of the 20 objectives in the chart above. • Review your notes and applicable problem set questions for each of the 20 objectives in the chart above. • Work the suggested text problems for each of the 20 objectives in the chart above.

  5. 1) Give the domain and range of each relation. Indicate whether the relation is a function by writing “yes” or “no”. a) Domain: {1, 2, 3, 4, 5} Range: The relation is not a function since 1 is associated with both 3 and b) Domain: Range: The relation is a function.

  6. 2) Let Find the following function values.

  7. 3) Find the domain of each function (in interval notation). a)

  8. 4) Graph the following function in your graphing calculator and determine the intervals where the function is increasing and the intervals where the function is decreasing. Increasing: Decreasing:

  9. 5) Classify the function as even, odd, or neither. .

  10. 6) Evaluate the difference quotient for the function

  11. 7) Find a linear function such that and

  12. 8) Find for the following piece–wise function.

  13. Graph the function in problem 8.

  14. 10) Circle the correct answer in each case to indicate what happens to the graph at each step.

  15. 11) Write an equation for the function whose graph fits the following description. The graph of is shifted four units right, reflected in the y-axis and shifted two units up

  16. 12) Let and a) Find

  17. 12b) Find Simplify your answer completely.

  18. 12c) Find 12d) Find

  19. 13) Let. Find . Simplify your answer completely.

  20. 14) Find the inverse of the following function.

  21. 15) Find the inverse of the following function.

  22. 16) Find the vertex of the quadratic function .

  23. 17) The function can be used to model the height of a pumpkin launched by an air cannon after the pumpkin has traveled feet. What is the maximum height of the pumpkin (rounded to the nearest foot)?

  24. 18) Find the domain of .

  25. 19) Let a) Find the vertical asymptote(s) of the function. Write (not b) Find the horizontal asymptote(s) of the function. Write (Not 2)

  26. 20) The stress in the material of a pipe varies jointly with the internal pressure and internal diameter of the pipe and inversely with the thickness of the pipe. The stress is 100 pounds per square inch when the diameter is 5 inches, the thickness if 0.75 inches, and the internal pressure is 25 pounds per square inch. Find the stress when the internal pressure is 50 pounds per square inch, the diameter is six inches, and the thickness is 0.5 inch.

  27. Test 3 Extra Practice

  28. 1) Give the domain and range of the relation. Indicate whether the relation is a function.

  29. 1) Give the domain and range of the relation. Indicate whether the relation is a function. Domain: {0, 1, 2, 3} Range: {} The relation is a function.

  30. 2) Let Find the following function values. Simplify completely. a) b) c)

  31. 2) Let Find the following function values. Simplify completely. a) b) c) a) , b) c)

  32. 3) Find the domain of each function. Write your answer in interval notation. a) b)

  33. 3) Find the domain of each function. Write your answer in interval notation. a) b) a) b)

  34. 4) Graph the following function in your graphing calculator and determine the intervals where the function is increasing and the intervals where the function is decreasing. Be sure to enlarge the window enough to view both turning points. The turning points have integer coordinates.

  35. 4) Graph the following function in your graphing calculator and determine the intervals where the function is increasing and the intervals where the function is decreasing. Be sure to enlarge the window enough to view both turning points. The turning points have integer coordinates.

  36. 5) Classify the function as even, odd, or neither: .

  37. 5) Classify the function as even, odd, or neither: .

  38. 6) Evaluate the difference quotient for the function

  39. 6) Evaluate the difference quotient for the function

  40. 7) Find a linear function such that and

  41. 7) Find a linear function such that and two points:

  42. 8) Find the function values for the following piece-wise function.

  43. 8) Find the function values for the following piece-wise function.

  44. 9) Carefully graph the function in problem 8.

  45. 10) Indicate what happens to the graph at each step.

  46. 10) Indicate what happens to the graph at each step.

More Related