Advanced Functions Nelson
ISBN:
0176374434 / 978176374433
Chapter 1 Functions, Characteristics and Properties
1.0 Getting Started
17
1.1 Functions
36
p.4
1.2 Exploring Absolute Value
32
p.14
1.3 Properties of Graphs of Functions
16
p.17
Mid Chapter Review on Functions
23
1.4 Sketching Graphs of Functions
51
p.29
1.5 Inverse Function
43
p.38
1.6 Piecewise Function
26
p.46
1.7 Exploring Operations with Functions
27
p.54
Chapter Review
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50
Chapter Practice Test on Functions
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11
Chapter 2 Functions-Understanding Rates of Change
2.1 Determining Average Rates of Change
25
p.68
2.2 Estimating Instantaneous Rates of Change of Change from Tables of Values and Equations
22
p.79
2.3 Exploring Instantaneous Rates of Change Using Graphs
10
p.89
Mid Chapter Review
12
2.4 Using Rates of Change to Create a Graphical Model
14
p.96
2.5 Solving Problems Involving Rates of Change
11
p.107
Chapter Review on Rates of Change
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18
Chapter 3 Polynomial Functions
3.1 Exploring Polynomial Functions
7
p.124
3.2 Characteristics of Polynomial Functions
19
p.129
3.3 Characteristics of Polynomial Functions in Factored Form
37
p.139
3.4 Transformation of Cubic and Quartic Functions
44
p.149
3.5 Dividing Polynomials
56
p.162
3.6 Factoring Polynomials
46
p.171
3.7 Factoring a Sum of Differences of Cubes
32
p.178
Chapter Review on Polynomial Algebra
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56
Chapter Practice Test
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9
Chapter 4 Polynomial Equations and Inequalities
Chapter 5 Rational Functions, Equations, and Inequalities
5.1 Graphs of Reciprocal Functions
51
p.248
5.2 Exploring Quotients of Polynomial Functions
21
p.258
5.3 Graphs of Rational Functions of the form f(x) = (ax + b)/(cx + d)
30
p.263
5.4 Solving Rational Equations
44
p.278
5.5 Solving Rational Inequalities
37
p.288
5.6 Rates of Change in Rational Functions
18
p.298
Chapter Review
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31
Chapter Test
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10
Chapter 6 Trigonometric Functions
6.1 Radian Measure
66
p.316
6.2 Radian Measure and Angles on the Cartesian Plane
63
p.323
6.3 Exploring Graphs of the Primary Trigonometric Functions
8
p.333
6.4 Transformations of Trigonometric Functions
57
p.337
Mid Chapter Review on Trig Functions
37
6.5 Exploring Graphs of the Reciprocal Trigonometric Functions
24
p.350
6.6 Modelling with Trigonometric Functions
20
p.354
6.7 Rates of Change in Trigonometric Functions
7
p.363
Chapter Review
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31
Chapter Test
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8
Chapter 7 Trigonometric Identities and Equations
7.1 Exploring Equivalent Trigonometric Functions
28
p.388
7.2 Compound Angle Formulas
50
p.394
7.3 Double Angle Formulas
46
p.402
7.4 Proving Trigonometric Identities
40
p.412
7.5 Solving Linear Trigonometric Equations
49
p.419
7.6 Solving Quadratic Trigonometric Equations
62
p.429
Chapter Review of Trig Identities and Equations
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33
Chapter Test - Trig Identities and Equations
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More Advanced Trig Identity Practice
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Chapter 8 Exponential and Logarithmic Functions
8.1 Exploring the Logarithmic Function
25
p.448
8.2 Transformations of Logarithmic Functions
36
p.452
8.3 Evaluating Logarithms
78
p.459
Mid Chapter Review
28
8.4 Laws of Logarithms
65
p.469
8.5 Solving Exponential Equations
57
p.480
8.6 Tutorials of Solving Logarithmic Equations
46
p.487
8.7 Solving Problems with Exponential and Logarithmic Functions
20
p.493
8.8 Rates of Change in Exponential and Logarithmic Functions
2
p.502
Chapter Review for Logs
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48
Chapter Test
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11
Chapter 9 Combinations of Functions
9.1 Exploring Combinations of Functions
p.518
9.2 Tutorials of Combining Two Functions - Sums and Differences
42
p.521
9.3 Tutorials of Combining Two Functions - Products
31
p.531
9.4 Exploring Quotients of Functions
8
p.540
9.5 Composition of Functions
66
p.545
9.6 Techniques for Solving Equations and Inequalities
13
p.555
9.7 Modelling with Functions
p.563