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## Functions 11 Student Edition

by Jacob Speijer, Roland Meisel, David Petro, Ken Stewart, Barbara Vukets

1st Edition Active, In-Print 608 Pages Hardback
9780070009783 0070009783
• Description
• Features
• Pricing

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.

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
1.6 Determine a Quadratic Equation Given its Roots
Chapter 1 Review
Chapter 1 Practice Test

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

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

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

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

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
Course Review

Prerequisite Skills Appendix
Technology Appendix
Glossary
Index
Credits

New to this Edition

• The instructional design of the student resource supports investigation, problem solving, and develops students' abilities to reason mathematically and communicate their thinking
• Designed to challenge the high level learner
• Summative Tasks and Projects included to support teachers’ different teaching styles
• Includes access to the Online Student eBOOK (PDFs) with purchase of each Student Text.
Register at www.mytextbook.ca/request
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