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

1.6 Using Multiple Transformations to Graph Quadratic Functions

1.7 The Domain and Range of a Quadratic

Chapter Review on Functions

13

Chapter 2 The Alegbra of quadratic Expressions

Chapter 3 Working with Quadratic Functions: Standard and Factored Forms

3.1 Tutorials for Exploring a Situation Using a Quadratic Function

3.2 Tutorials for Relating the Standard and Factoring Forms

3.3 Tutorials for Solving Quadratic Equations by Graphing

6

3.4 Tutorials for Solving Quadratic Equations by Factoring

3.5 Tutorials for Solving Problems Involving Quadratic Functions

3.6 Tutorials for Creating a Quadratic Model from Data

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

40

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

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

17

5.4 Investigating and Applying the Cosine Law in Acute Triangles

13

5.5 Solving Problems by Using Acute-Triangle Models

6

Chapter Review

19

Chapter Test

7

Chapter 6 Sinusoidal Functions

6.1 Exploring Periodic Motion

1

6.2 Periodic Behaviour

6.3 Investigating the Sine Function

6.4 Comparing Sinusoidal Functions

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

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

15

Chapter Review

19

Chapter Test

9

Chapter 7 Exponential Functions

7.1 Collecting Exponential Data

7.2 The Laws of Exponents

57

7.3 Working with Integer Exponents

Mid Chapter Review

41

7.4 Tutorials for Working with Rational Exponents

7.5 Tutorials for Exploring the Properties of Exponential Functions

7.6 Tutorials for Solving Problems Involving Exponential Growth

7.7 Tutorials for Problems Involving Exponential Decay

Chapter Review

Chapter 8 Solving Financial Problems Involving Exponential Functions

8.1 Tutorials for Investigating Interest and Rates of Change

8.2 Tutorials for Compound Interest: Determining Future Value

8.3 Tutorials for Compound Interest: Determining Present Value

8.4 Tutorials for Compound Interest: solving Financial Problems

8.5 Tutorials for Regular Annuities: Determining Future Value

8.6 Tutorials for Regular Annuities: Determining Present Value

8.7 Tutorials for Savings Plans and Loans: Creating Amortization Tables

Chapter 7 and 8 Review

15