11 Functions and Applications Nelson

ISBN:
0176332044 / 9780176332044

Chapter 1 Introduction to the Quadratic Function

1.1 The Characteristics of a Functions

25

1.2 Comparing Rates of Change in Linear and Quadratic Functions

16

1.3 Working with Function Notation

26

1.4 Exploring Transformations of Quadratic Functions

1

1.5 Graphing Quadratic Functions by Quadratic Functions

45

1.6 Using Multiple Transformations to Graph Quadratic Functions

36

1.7 The Domain and Range of a Quadratic

27

Chapter Review on Functions

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13

Chapter 2 The Alegbra of quadratic Expressions

2.1 Working with Quadratic Expressions

42

2.2 Factoring Polynomials: Common Factoring

38

2.3 Factoring Quadratic Expressions: x^2+bx+c

43

Mid Chapter Review

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20

2.4 Factoring Quadratic Expressions: ax^2+bx +c

46

2.5 Factoring Quadratic Expressions: Special Cases

43

Chapter Review

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51

Practice Test

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22

Chapter 3 Working with Quadratic Functions: Standard and Factored Forms

3.1 Exploring a Situation Using a Quadratic Function

3.2 Tutorials for Relating the Standard and Factoring Forms

52

3.3 Solving Quadratic Equations by Graphing

6

3.4 Solving Quadratic Equations by Factoring

47

3.5 Tutorials for Solving Problems Involving Quadratic Functions

14

3.6 Creating a Quadratic Model from Data

20

Chapter 4 Working with Quadratic Models: Standard and Vertex Forms

4.1 The Vertex Form of a Quadratic Function

40

4.2 Relating the Standard and Vertex Forms: Completing the Square

43

4.3 Solving Quadratic Equations Using the Quadratic Formula

35

4.4 Investigating the Nature of the Roots

34

4.5 Using Quadratic Function Models to Solve Problems

23

4.6 Using the Vertex Form to Create Quadratic Function Models from Data

15

Chapter Review Quadratics Fun and App

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31

Chapter 5 Trigonometry and Acute Triangles

5.1 Applying the Primary Trigonometric Ratios

23

5.2 Solving Problems by Using Right-Triangle Models

22

5.3 Investigating and Applying the Sine Law in Acute Triangles

39

Mid Chapter Review

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17

5.4 Investigating and Applying the Cosine Law in Acute Triangles

13

5.5 Solving Problems by Using Acute-Triangle Models

15

Chapter Review

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19

Chapter Test

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7

Chapter 6 Sinusoidal Functions

6.1 Exploring Periodic Motion

1

6.2 Periodic Behaviour

20

6.3 Investigating the Sine Function

16

6.4 Comparing Sinusoidal Functions

14

6.5 Transformations of the Sine Function: f(x) =sin(x-c) and f(x) =sin(x) + d

14

6.6 Tutorials for More Transformations of sin x: f(x) = a sin(x)

17

Chapter Review

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19

Chapter Test

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9

Chapter 7 Exponential Functions

7.1 Collecting Exponential Data

3

7.2 The Laws of Exponents

57

7.3 Working with Integer Exponents

Mid Chapter Review

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41

7.4 Rational Exponents

7.5 Exploring the Properties of Exponential Functions

7.6 Solving Problems Involving Exponential Growth

7.7 Problems Involving Exponential Decay

Chapter Review

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46

Chapter 8 Solving Financial Problems Involving Exponential Functions

8.1 Tutorials for Investigating Interest and Rates of Change

22

8.2 Tutorials for Compound Interest: Determining Future Value

21

8.3 Tutorials for Compound Interest: Determining Present Value

20

8.4 Tutorials for Compound Interest: solving Financial Problems

25

8.5 Tutorials for Regular Annuities: Determining Future Value

19

8.6 Tutorials for Regular Annuities: Determining Present Value

20

8.7 Tutorials for Savings Plans and Loans: Creating Amortization Tables

13

Chapter 7 and 8 Review

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15