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**A resource written specifically** for the University Functions (MCR 3U) course. *Functions 11* addresses and supports the diverse needs of students and teachers and integrates mathematical process expectations into all areas of the student text.

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The following ISBNs are associated with this title:

ISBN - 10:0070009783

ISBN - 13:9780070009783

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### Customer Reviews of Functions 11 Se

### Extra Content

Table of Contents

**Preface**

**Chapter 1 Functions**

Prerequisite Skills

1.1 Functions, Domain, and Range

1.2 Functions and Function Notation

1.3 Maximum or Minimum of a Quadratic Function

Use Technology

Use a TI-Nspire™ CAS Graphing Calculator to Find Maximum or Minimum and the Zeros of a Quadratic Function

1.4 Skills You Need: Working With Radicals

Use Technology

Use a TI-Nspire™ CAS Graphing Calculator to Explore Operations With Radicals

1.5 Solve Quadratic Equations

1.6 Determine a Quadratic Equation Given its Roots

1.7 Solve Linear-Quadratic Systems

Chapter 1 Review

Chapter 1 Practice Test

Task: Laser Beams

**Chapter 2 Transformations of Functions**

Prerequisite Skills

2.1 Functions and Equivalent Algebraic Expressions

Use Technology

Graph Functions Using a TI-Nspire™ CAS Graphing Calculator

2.2 Skills You Need: Operations With Rational Expressions

2.3 Horizontal and Vertical Translations of Functions

2.4 Refl ections of Functions

2.5 Stretches of Functions

Use Technology

Use The Geometer’s Sketchpad® to Explore Transformations

2.6 Combinations of Transformations

2.7 Inverse of a Function

Chapter 2 Review

Chapter 2 Practice Test

Task: Functions in Design

**Chapter 3 Exponential Functions**

Prerequisite Skills

3.1 The Nature of Exponential Growth

Use Technology

Use Lists and Trace Features on a TI-Nspire™ CAS Graphing Calculator

3.2 Exponential Decay: Connecting to Negative Exponents

3.3 Rational Exponents

3.4 Properties of Exponential Functions

3.5 Transformations of Exponential Functions

3.6 Making Connections: Tools and Strategies for Applying Exponential Models

Chapter 3 Review

Chapter 3 Practice Test

Chapters 1 to 3 Review

Task: Radioactive Isotopes

**Chapter 4 Trigonometry**

Prerequisite Skills

4.1 Special Angles

4.2 Co-terminal and Related Angles

Use Technology

Use a Computer Algebra System to Find Exact Trigonometric Ratios and Angles

4.3 Reciprocal Trigonometric Ratios

4.4 Problems in Two Dimensions

Use Technology

Use Geometry Software to Test for the Ambiguous Case

4.5 Problems in Three Dimensions

4.6 Trigonometric Identities

Chapter 4 Review

Chapter 4 Practice Test

Task: Pyramids and Angles of Elevation

**Chapter 5 Trigonometric Functions**

Prerequisite Skills

5.1 Modelling Periodic Behaviour

5.2 The Sine Function and the Cosine Function

Use Technology

Dynamically Unwrap theUnit Circle

5.3 Investigate Transformations of Sine and Cosine Functions

5.4 Graphing and Modelling with y = asin[k(x - d)] + c and y = acos[k(x - d)] + c

5.5 Data Collecting and Modelling

5.6 Use Sinusoidal Functions to Model Periodic Phenomena Not Involving Angles

Use Technology

Create a Scatter Plot and a Function Using a TI-Nspire™ CAS Graphing Calculator

Chapter 5 Review

Chapter 5 Practice Test

Chapters 4 and 5 Review

Task: Modelling a Rotating Object

**Chapter 6 Discrete Functions**

Prerequisite Skills

6.1 Sequences as Discrete Functions

Use Technology

Use a TI-Nspire™ CAS Graphing Calculator to Write Terms in a Sequence

6.2 Recursive Procedures

6.3 Pascal’s Triangle and Expanding Binomial Powers

6.4 Arithmetic Sequences

6.5 Geometric Sequences

6.6 Arithmetic Series

6.7 Geometric Series

Chapter 6 Review

Chapter 6 Practice Test

Task: Mathematics in Media Studies

**Chapter 7 Financial Applications**

Prerequisite Skills

7.1 Simple Interest

7.2 Compound Interest

7.3 Present Value

7.4 Annuities

7.5 Present Value of an Annuity

Chapter 7 Review

Chapter 7 Practice Test

Chapters 6 and 7 Review

Task: Loans and Annuities Due

Course Review

**Prerequisite Skills Appendix****Technology Appendix****Answers****Glossary****Index****Credits**