A resource written specifically for the University, Advanced Functions (MHF4U) course.
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The following ISBNs are associated with this title:
ISBN - 10:0070266360
ISBN - 13:9780070266360
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Table of Contents
Preface Chapter 1 Polynomial FunctionsPrerequisite Skills1.1 Power Functions1.2 Characteristics of Polynomial Functions1.3 Equations and Graphs of Polynomial Functions1.4 Transformations1.5 Slopes of Secants and Average Rate of Change1.6 Slopes of Tangents and Instantaneous Rate of ChangeReviewPractice TestTask: Create Your Own Water Park Chapter 2 Polynomial Equations and InequalitiesPrerequisite Skills2.1 The Remainder Theorem2.2 The Factor Theorem2.3 Polynomial Equations2.4 Families of Polynomial Functions2.5 Solve Inequalities Using Technology2.6 Solve Factorable Polynomial Inequalities AlgebraicallyReviewPractice TestTask: Can You Tell Just by Looking? Chapter 3 Rational FunctionsPrerequisite Skills3.1 Reciprocal of a Linear FunctionExtension: Asymptotes and the TI-83 Plus or TI-84 Plus Graphing Calculator3.2 Reciprocal of a Quadratic Function3.3 Rational Functions of the Formf(x) = ax + b cx + d3.4 Solve Rational Equations and Inequalities3.5 Making Connections With Rational Functions and EquationsReviewPractice TestChapters 1 to 3 ReviewTask: ZENN and Now Chapter 4 TrigonometryPrerequisite Skills4.1 Radian Measure4.2 Trigonometric Ratios and Special Angles4.3 Equivalent Trigonometric Expressions4.4 Compound Angle Formulas4.5 Prove Trigonometric IdentitiesExtension: Use The Geometer’s Sketchpad® to Sketch and Manipulate Three-Dimensional Structures in a Two-Dimensional RepresentationReviewPractice TestTask: Make Your Own Identity Chapter 5 Trigonometric FunctionsPrerequisite Skills5.1 Graphs of Sine, Cosine, and Tangent Functions5.2 Graphs of Reciprocal Trigonometric Functions5.3 Sinusoidal Functions of the Formf(x) = a sin [k(x - d)] + c andf(x) = a cos [k(x - d)] + cExtension: Use a Graphing Calculator to Fit a Sinusoidal Regression to Given Data5.4 Solve Trigonometric Equations5.5 Making Connections and Instantaneous Rate of ChangeReviewPractice TestChapters 4 and 5 ReviewTask: Predators and Prey Chapter 6 Exponential and Logarithmic FunctionsPrerequisite Skills6.1 The Exponential Function and Its Inverse6.2 Logarithms6.3 Transformations of Logarithmic Functions6.4 Power Law of Logarithms6.5 Making Connections: Logarithmic Scales in the Physical SciencesReviewPractice TestTask: Not Fatal Chapter 7 Tools and Strategies for Solving Exponential and Logarithmic EquationsPrerequisite Skills7.1 Equivalent Forms of Exponential Equations7.2 Techniques for Solving Exponential Equations7.3 Product and Quotient Laws of Logarithms7.4 Techniques for Solving Logarithmic Equations7.5 Making Connections: Mathematical Modelling With Exponential and Logarithmic EquationsReviewPractice TestTask: Make Your Own Slide Rule Chapter 8 Combining FunctionsPrerequisite Skills8.1 Sums and Differences of Functions8.2 Products and Quotients of Functions8.3 Composite Functions8.4 Inequalities of Combined Functions8.5 Making Connections: Modelling With Combined FunctionsReviewPractice TestChapters 6 to 8 ReviewTask: Modelling a Damped Pendulum Course ReviewPrerequisite Skills AppendixTechnology AppendixAnswersGlossaryIndexCredits