{"product_id":"functions-modeling-change-isbn-9781119498315","title":"Functions Modeling Change","description":"\u003cp\u003e\u003cb\u003eAn accessible Precalculus text with concepts, examples, and problems\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eThe sixth edition of \u003ci\u003eFunctions Modeling Change: A Preparation for Calculus\u003c\/i\u003e helps students establish a foundation for studying Calculus. The text covers key Precalculus topics, examples, and problems. Chapters examine linear, quadratic, logarithmic, exponential, polynomial, and rational functions. They also explore trigonometry and trigonometric Identities, plus vectors and matrices. The end of each chapter offers details on how students can strengthen their knowledge about the topics covered. \u003c\/p\u003e\u003cp\u003e\u003cb\u003e1 Linear Functions and Change 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Functions and Function Notation 2\u003c\/p\u003e \u003cp\u003e1.2 Rate of Change 10\u003c\/p\u003e \u003cp\u003e1.3 Linear Functions 19\u003c\/p\u003e \u003cp\u003e1.4 Formulas For Linear Functions 28\u003c\/p\u003e \u003cp\u003e1.5 Graphs and Models With Linear Functions and Inequalities 40\u003c\/p\u003e \u003cp\u003e1.6 Fitting Linear Functions To Data 49\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 55\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Functions 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Input and Output 58\u003c\/p\u003e \u003cp\u003e2.2 Domain and Range 67\u003c\/p\u003e \u003cp\u003e2.3 Piecewise-Defined Functions 73\u003c\/p\u003e \u003cp\u003e2.4 Preview of Transformations: Shifts 81\u003c\/p\u003e \u003cp\u003e2.5 Preview of Composite and Inverse Functions 88\u003c\/p\u003e \u003cp\u003e2.6 Concavity 97\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 103\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Quadratic Functions 105\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction To The Family Of Quadratic Functions 106\u003c\/p\u003e \u003cp\u003e3.2 The Vertex of a Parabola 113\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 120\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Exponential Functions 121\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction To The Family Of Exponential Functions 122\u003c\/p\u003e \u003cp\u003e4.2 Comparing Exponential and Linear Functions 131\u003c\/p\u003e \u003cp\u003e4.3 Graphs of Exponential Functions 140\u003c\/p\u003e \u003cp\u003e4.4 Applications To Compound Interest 149\u003c\/p\u003e \u003cp\u003e4.5 The Number E 152\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 161\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Logarithmic Functions 163\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Logarithms and Their Properties 164\u003c\/p\u003e \u003cp\u003e5.2 Logarithms and Exponential Models 173\u003c\/p\u003e \u003cp\u003e5.3 The Logarithmic Function and Its Applications 181\u003c\/p\u003e \u003cp\u003e5.4 Logarithmic Scales 192\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 203\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Transformations of Functions and Their Graphs 205\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Shifts, Reflections, and Symmetry 206\u003c\/p\u003e \u003cp\u003e6.2 Vertical Stretches and Compressions 215\u003c\/p\u003e \u003cp\u003e6.3 Horizontal Stretches and Combinations Of Transformations 223\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 233\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Trigonometry Starting with Circles 235\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction To Periodic Functions 236\u003c\/p\u003e \u003cp\u003e7.2 The Sine and Cosine Functions 241\u003c\/p\u003e \u003cp\u003e7.3 Radians and Arc Length 248\u003c\/p\u003e \u003cp\u003e7.4 Graphs of Sine and Cosine Functions 255\u003c\/p\u003e \u003cp\u003e7.5 Sinusoidal Functions 263\u003c\/p\u003e \u003cp\u003e7.6 The Tangent Function 272\u003c\/p\u003e \u003cp\u003e7.7 The Six Trigonometric Functions and Relationships Between Them 276\u003c\/p\u003e \u003cp\u003e7.8 Inverse Trigonometric Functions 282\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 287\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Trigonometry Starting with Triangles 291\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Trig Functions and Right Triangles 292\u003c\/p\u003e \u003cp\u003e8.2 Non-Right Triangles 302\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 311\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Trigonometric Identities, Polar Coordinates, and Complex Numbers 313\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Trigonometric Equations 314\u003c\/p\u003e \u003cp\u003e9.2 Identities, Expressions, and Equations 319\u003c\/p\u003e \u003cp\u003e9.3 Sum and Difference Formulas For Sine and Cosine 327\u003c\/p\u003e \u003cp\u003e9.4 Polar Coordinates 332\u003c\/p\u003e \u003cp\u003e9.5 Complex Numbers and De Moivre’s Theorem 339\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 347\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Compositions, Inverses, and Combinations of Functions 349\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Revisiting Composition of Functions 350\u003c\/p\u003e \u003cp\u003e10.2 Revisiting Inverse Functions 358\u003c\/p\u003e \u003cp\u003e10.3 The Graph, Domain, and Range of An Inverse Function 365\u003c\/p\u003e \u003cp\u003e10.4 Combinations of Functions 370\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 381\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Polynomial and Rational Functions 383\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Power Functions and Proportionality 384\u003c\/p\u003e \u003cp\u003e11.2 Polynomial Functions and Their Behavior 395\u003c\/p\u003e \u003cp\u003e11.3 Zeros of Polynomials and Short-Run Behavior 404\u003c\/p\u003e \u003cp\u003e11.4 Rational Functions 410\u003c\/p\u003e \u003cp\u003e11.5 The Short-Run Behavior of Rational Functions 417\u003c\/p\u003e \u003cp\u003e11.6 Comparing Power, Exponential, and Log Functions 425\u003c\/p\u003e \u003cp\u003e11.7 Fitting Exponentials and Polynomials To Data 432\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 439\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Vectors and Matrices 441\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Vectors 442\u003c\/p\u003e \u003cp\u003e12.2 The Components Of A Vector 450\u003c\/p\u003e \u003cp\u003e12.3 Applications Of Vectors 458\u003c\/p\u003e \u003cp\u003e12.4 The Dot Product 465\u003c\/p\u003e \u003cp\u003e12.5 Matrices 471\u003c\/p\u003e \u003cp\u003eStrengthen Your Understanding 483\u003c\/p\u003e \u003cp\u003eAnswers to Odd-Numbered Problems 484\u003c\/p\u003e \u003cp\u003eIndex 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