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1 st Edition • Activ e, In-Print • 602 Pages • Hardcov er 97 8007 0266360 • 007 0266360
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Preface Chapter 1 Poly nom ial Functions Prerequisite Skills 1 .1 Power Functions 1 .2 Characteristics of Poly nomial Functions 1 .3 Equations and Graphs of Poly nomial Functions 1 .4 Transformations 1 .5 Slopes of Secants and Av erage Rate of Change 1 .6 Slopes of Tangents and Instantaneous Rate of Change Rev iew Practice Test Task: Create Y our Own Water Park Chapter 2 Poly nom ial Equations and Inequalities Prerequisite Skills 2.1 The Remainder Theorem 2.2 The Factor Theorem 2.3 Poly nomial Equations 2.4 Families of Poly nomial Functions 2.5 Solv e Inequalities Using Technology 2.6 Solv e Factorable Poly nomial Inequalities Algebraically Rev iew Practice Test Task: Can Y ou Tell Just by Looking? Chapter 3 Rational Functions Prerequisite Skills 3.1 Reciprocal of a Linear Function Ex tension: Asy mptotes and the TI-83 Plus or TI-84 Plus Graphing Calculator 3.2 Reciprocal of a Quadratic Function 3.3 Rational Functions of the Form f(x ) = ax + b cx + d 3.4 Solv e Rational Equations and Inequalities 3.5 Making Connections With Rational Functions and Equations Rev iew Practice Test Chapters 1 to 3 Rev iew Task: ZENN and Now Chapter 4 T rigonom etry Prerequisite Skills 4.1 Radian Measure 4.2 Trigonometric Ratios and Special Angles 4.3 Equiv alent Trigonometric Ex pressions 4.4 Compound Angle Formulas 4.5 Prov e Trigonometric Identities Ex tension: Use The Geometer’s Sketchpad® to Sketch and Manipulate ThreeDimensional Structures in a Two-Dimensional Representation www.mcgrawhill.ca/ school/ products/ 9780070266360/ advanced+ functions+ 12+ student+ edition/ #tabs-À
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Advanced Functions 12 Student Edition by Wayne Erdman, Antonietta Lenjosek, Roland Meisel, Jacob À Rev iew Practice Test Task: Make Y our Own Identity Chapter 5 T rigonom etric Functions Prerequisite Skills 5.1 Graphs of Sine, Cosine, and Tangent Functions 5.2 Graphs of Reciprocal Trigonometric Functions 5.3 Sinusoidal Functions of the Form f(x ) = a sin [k(x - d)] + c and f(x ) = a cos [k(x - d)] + c Ex tension: Use a Graphing Calculator to Fit a Sinusoidal Regression to Giv en Data 5.4 Solv e Trigonometric Equations 5.5 Making Connections and Instantaneous Rate of Change Rev iew Practice Test Chapters 4 and 5 Rev iew Task: Predators and Prey Chapter 6 Ex ponential and Logarithm ic Functions Prerequisite Skills 6.1 The Ex ponential Function and Its Inv erse 6.2 Logarithms 6.3 Transformations of Logarithmic Functions 6.4 Power Law of Logarithms 6.5 Making Connections: Logarithmic Scales in the Phy sical Sciences Rev iew Practice Test Task: Not Fatal Chapter 7 T ools and Strategies for Solv ing Ex ponential and Logarithm ic Equations Prerequisite Skills 7 .1 Equiv alent Forms of Ex ponential Equations 7 .2 Techniques for Solv ing Ex ponential Equations 7 .3 Product and Quotient Laws of Logarithms 7 .4 Techniques for Solv ing Logarithmic Equations 7 .5 Making Connections: Mathematical Modelling With Ex ponential and Logarithmic Equations Rev iew Practice Test Task: Make Y our Own Slide Rule Chapter 8 Com bining Functions Prerequisite Skills 8.1 Sums and Differences of Functions 8.2 Products and Quotients of Functions 8.3 Composite Functions 8.4 Inequalities of Combined Functions 8.5 Making Connections: Modelling With Combined Functions Rev iew Practice Test Chapters 6 to 8 Rev iew Task: Modelling a Damped Pendulum Course Rev iew Prerequisite Skills Appendix T echnology Appendix Answers Glossary Index Credits