DATE OF FINAL:Tuesday May 13th

TIME OF FINAL: 9 am- 12 pm

LOCATION OF FINAL: RLM 7.104

 

More Details

• The final review was the last three weeks of the semester, so there will not be an additional final review.

Information about the Final

• The final exam will most likely take you the entire 3 hours.
• There is no cheat sheet allowed. I will provide the scratch paper and the test.
• The test is cumulative. Everything we've covered in this class is fair game.
• There will not be any extra credit problems.
• Any problems that require the yellow-boxed-formulas from the book in SECTIONS 7.4 AND 7.5 will be provided to you on the exam. So you don't have to memorize formulas from these two sections. You will be responsible for knowing any of the formulas from the other sections of the book.

Things You Should Be Able To Do

1. Find exact values of sin^(-1)(x), cos^(-1)(x), tan^(-1)x and expressions involving them. p.429, 441
2. Use properties of inverse functions to find exact values of certain composite functions. p.431
3. Find the inverse function of a trigonometric function and solve equations involving inverse trigonometric functions. p.436,437
4. Use sum and difference formulas to find exact values. p.454
5. Use sum and difference formulas to establish identities, p.455
6. Use sum and difference formulas involving inverse trigonometric functions, p.459
7. Use double-angle formulas to find exact values. p.463
8. Use double-angle formulas to establish identities. p.464
9. Use half-angle formulas to find exact values. p.466
10. Convert from degrees to radians and from radians to degrees. p.348
11. Find the exact values of the trigonometric functions using a point on the unit circle. p.359
12. Find the exact values of the trigonometric functions for the three "special triangles". p.363,364,366
13. Use a circle of radius r to evaluate the trigonometric functions. p.368
14. Determine the domain and range of the trigonometric functions. p.373
15. Determine the period of the trigonometric functions. p.375
16. Determine the signs of the trigonometric functions in a given quadrant. p.377
17. Find the values of the trigonometric functions of an angle given one of the functions and the quadrant of the angle. p.380
18. Use even-odd properties to find the exact values of the trigonometric functions. p.382
19. Graph functions of the form y=Asin(wx) and y=Acos(wx) using transformations. p.388-389
20. Determine the amplitude and period of sinusoidal functions. p.390
21. Form a composite function. p.242
22. Find the domain of a composite function. p.243
23. Determine whether a function is 1-1. p.250
24. Determine the inverse of a function defined by a map on or on a set of order ordered pairs. p.252
25. Obtain the graph of the inverse function from the graph of the function. p.254
26. Find the inverse of a function defined by an equation. p.256
27. Evaluate exponential functions. p.263
28. Graph exponential functions. p.265
29. Solve exponential equations. p.271,301
30. Change exponential expressions to logarithmic expressions and logarithmic expressions to exponential expressions. p.278
31. Evaluate logarithmic expressions. p.278
32. Determine the domain and range of exponential functions and logarthmic functions p.265,279
33. Graph logarithmic functions. p.280,299
34. Solve logarithmic equations. p.283
35. Write a logarithmic expression as a sum or difference of logarithms. p.290,292
36. Write a logarithmic expression as a single logarithm. p.293
37. Evaluate logarithms whose base is neither 10 nor e. p.294
38. Identify polynomial functions and their degree. p.164
39. Graph polynomial functions using transformations. p.168
40. Identify the real zeros of a polynomial function, their multiplicity, and the behavior of the polynomial near these zeros. p.169
41. Analyze the graph of a polynomial function. p.176
42. Find the domain, vertical asymptotes, horizontal or oblique asymptotes of a rational function. p.187,188
43. Analyze the graph of a rational function. p.195
44. Graph linear functions. p.118
45. Determine whether a linear function is increasing, decreasing, or constant. p.121
46. Graph a quadratic function using transformations. p.135
47. Identify the vertex and axis of symmetry of a quadratic function. p.137
48. Graph a quadratic function using its vertex, axis, and intercepts. p.137
49. Find the maximum or minimum value of a quadratic function. p.141
50. Determine whether a relation or equation represents a function. p.48
51. Find the value of a function. p.52
52. Find the domain of a function. p.55
53. Form the sum, difference, product, and quotient of two functions. p.57
54. Identify the graph of a function. p.63
55. Determine even and odd functions from a graph. p.71
56. Identify even and odd functions from an equation, and be able to justify your answer. p.72
57. Use a graph to determine where a function is increasing, decreasing, or constant. p.73
58. Use a graph to local local maxima and local minima. p.74
59. Graph the functions listedin the library of functions. p.84
60. Graph the piecewise-defined functions. p.87
61. Graph functions using vertical and horizontal shifts, and compressions and stretches, and reflections about the x-axis and y-axis. p.92-98
62. Use the distance formula. p.3
63. Find intercepts of a function from the equation or from its graph. p.11,12
64. Test an equation for symmetry with respect to the x-axis, y-axis, and the origin. p.13
65. Graph lines given a point and the slope. p.22
66. Find the equation of a vertical line. p.23
67. Find the equation of a horizontal line. p.24
68. Find the equation of a line given two points. p.25
69. Write the equation of a line in slope-intercept form. p.25
70. Find equations of parallel lines. p.28
71. Find the equations of perpindicular lines. p.2
72. Basic Algebra

The page numbers in this list are just a reference point of where to start looking for each objective. This list is probably the best hint you will receive about "what's on the final exam". The final exam covers almost every single objective in this list. For each objective in the list, you should make sure you can do lots of problems of that type. Do both the easy problems and the hard problems of each type, especially old homework problems. The test covers a lot of material, so if you are not well prepared, you will do poorly. You should make practice tests and exchange them with a friend and do each others. You should make flash cards with sample problems, homework problems you had difficulty with, definitions, formulas, etc. This will take awhile, and it wont just sink in overnight.

Good luck!!