Functions Modeling Change: A Preparation for Calculus [Loose-leaf]

An accessible Precalculus text with concepts, examples, and problems

The sixth edition of Functions Modeling Change: A Preparation for Calculus 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.

1 Linear Functions and Change 1

1.1 Functions and Function Notation 2

1.2 Rate of Change 10

1.3 Linear Functions 19

1.4 Formulas For Linear Functions 28

1.5 Graphs and Models With Linear Functions and Inequalities 40

1.6 Fitting Linear Functions To Data 49

Strengthen Your Understanding 55

2 Functions 57

2.1 Input and Output 58

2.2 Domain and Range 67

2.3 Piecewise-Defined Functions 73

2.4 Preview of Transformations: Shifts 81

2.5 Preview of Composite and Inverse Functions 88

2.6 Concavity 97

Strengthen Your Understanding 103

3 Quadratic Functions 105

3.1 Introduction To The Family Of Quadratic Functions 106

3.2 The Vertex of a Parabola 113

Strengthen Your Understanding 120

4 Exponential Functions 121

4.1 Introduction To The Family Of Exponential Functions 122

4.2 Comparing Exponential and Linear Functions 131

4.3 Graphs of Exponential Functions lŸ