Unit 8

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Unit 8
1. identify the domain of a function that is given
as a set of ordered pairs
2. identify the domain of a function that is given
as a formula
3. identify the domain of a function that is given
as a graph
4. identify the range of a function that is given
as a set of ordered pairs
5. identify the range of a function that is given
as a formula
6. identify the range of a function that is given
as a graph
7. find the inverse of a function that is given as
a set of ordered pairs
8. find the inverse of a function that is given as
a formula
9. find the inverse of a function that is given as
a graph
10. graph an exponential function
11. identify the horizontal asymptote of the
graph of an exponential function
12. recognize exponential growth
13. recognize exponential decay
14. write an exponential function that has graph
that passes through two given points
15. write an exponential function that models a
given situation
16. evaluate an exponential function at a given xvalue
17. solve an exponential equation
18. write an exponential function for a "half-life"
problem
19. interest compounded quarterly, daily, etc.
20. interest compounded continuously
21. convert logarithmic form  exponential
form
22. evaluate a logarithmic expression
23. pH problems
24. graph a logarithmic function
25. domain/range of logarithmic functions
26. use properties of logs: product, quotient,
power, change-of-base
27. expand a logarithmic expression
28. "write as a single log"
29. solve a logarithmic equation
30. work with natural logs
Unit 9
31. factor an expression
32. factor a cubic polynomial expression using RRT
and synthetic division
33. perform partial fraction decomposition
34. identify direct & inverse variation
35. model direct, inverse, and joint variation
36. graph direct variation
37. graph inverse variation
38. simplify a rational expression
39. add/subtract/multiply/divide rational
expressions
40. solve rational equations
41. state restrictions on variables
42. identify extraneous solutions
43. "how long would it take each person working
alone" problems
Unit 10
44. write the standard form equation of an
ellipse
45. write the standard form equation of a circle
46. write the standard form equation of a
hyperbola
47. write the standard form equation of a
parabola
48. graph an ellipse
49. graph a hyperbola
50. graph a circle
51. graph a parabola
52. complete the square to write a conic section's
equation in standard form
53. identify a conic section given an equation
54. find key features of an ellipse given other key
features
55. find key features of an hyperbola given other
key features
56. find key features of a circle given other key
features
57. find key features of a parabola given other
key features
58. "find the equation of a circle that passes
through…"
59. solve a quadratic system of equations
Unit 11
60. write an nth term expression for
a. arithmetic
b. geometric
c. quadratic
d. other
61. find the next term in a given sequence
62. use a recursive formula
63. write a recursive formula
64. identify an arithmetic sequence
65. identify a geometric sequence
66. find a missing term in an arithmetic sequence
67. find a missing term in a geometric sequence
68. write a sigma expression
69. evaluate a sigma expression
Unit 11 (continued)
70. find a partial sum of an arithmetic series
71. find a partial sum of a geometric series
72. determine if an infinite geometric series
converges
73. evaluate a convergent infinite geometric series
Unit 12
74. use the Pythagorean theorem formula
75. find lengths of sides in special right triangles
76. sketch an angle in standard position
77. find an angle that is coterminal with a given
standard position angle
78. find the coordinates where the terminal side
of a "special" standard-position angle
intersects the unit circle
79. find the period of a periodic function
80. find the amplitude of a periodic function
81. find sine, cosine, and tangent of "special"
angles
82. find sine, cosine, and tangent of angles using
the calculator
83. find sine, cosine, and tangent of an angle
given the coordinates where the angle's
terminal side intersects the unit circle
84. convert degrees  radians
85. find the length of an arc given a central angle
measure in radians
86. find sine, cosine, tangent for "special" angle
measures given in radians
87. graph a sine function
88. graph a cosine function
89. graph a tangent function
90. graph secant and cosecant functions
91. write an equation matching a given trig
function's graph
Unit 13
92. verify a trig identity
93. simplify a trig expression
94. solve a trig equation over a given interval--like
0, 2 
95. find the complete solution of a trig equation
96. find the measures of the acute angles of a right
triangle
97. set up and solve a problem using right triangle
trig
a. angle of depression
b. angle of elevation
c. etc.
98. set up and solve a bearing problem
Unit 14
99. find the mean of a set of data
100. find the median of a set of data
101. find the mode of a set of data
102. find the standard deviation of a set of
data
103. discuss outliers in a set of data
104. find Q1 and Q3 for a set of data
105. analyze a box-and-whisker plot
106. find a z-score
107. solve a problem involving normallydistributed data
108. calculate the theoretical probability of an
event
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