**CHAPTER 1. AN INTRODUCTION TO DATA AND FUNCTIONS.**

1.1 Describing Single-Variable Data.

1.2 Describing Relationships between Two Variables.

1.3 An Introduction to Functions.

1.4 The Language of Functions.

1.5 Visualizing Functions.

**CHAPTER 2. RATES OF CHANGE AND LINEAR FUNCTIONS.**

2.1 Average Rates of Change.

2.2 Change in the Average Rate of Change.

2.3 The Average Rate of Change Is a Slope.

2.4 Putting a Slant on Data.

2.5 Linear Functions: When Rates of Change Are Constant.

2.6 Visualizing Linear Functions.

2.7 Constructing Graphs and Equations of Linear Functions.

2.8 Special Cases.

2.9 Breaking the Line: Piecewise Linear Functions.

2.10 Constructing Linear Models of Data.

2.11 Looking for Links between Education and Earnings: A Case
Study on Using Regression Lines.

**CHAPTER 3. WHEN LINES MEET: LINEAR SYSTEMS.**

3.1 Interpreting Intersection Points: Linear and Nonlinear Systems.

3.2 Visualizing and Solving Linear Systems.

3.3 Reading between the Lines: Linear Inequalities.

3.4 Systems with Piecewise Linear Functions: Tax Plans.

**CHAPTER 4. THE LAWS OF EXPONENTS AND LOGARITHMS:
MEASURING THE UNIVERSE.**

4.1 The Numbers of Science: Measuring Time and Space.

4.2 Positive Integer Exponents.

4.3 Zero, Negative, and Fractional Exponents.

4.4 Converting Units.

4.5 Orders of Magnitude.

4.6 Logarithms as Numbers.

**CHAPTER 5. GROWTH AND DECAY: AN INTRODUCTION TO
EXPONENTIAL FUNCTIONS.**

5.1 Exponential Growth.

5.2 Exponential Decay.

5.3 Comparing Linear and Exponential Functions.

5.4 Visualizing Exponential Functions.

5.5 Exponential Functions: A Constant Percent Change.

5.6 More Examples of Exponential Growth and Decay.

5.7 Compound Interest and the Number e.

5.8 Semi-Log Plots of Exponential Functions.

**CHAPTER 6. LOGARITHMIC LINKS: LOGARITHMIC AND EXPONENTIAL
FUNCTIONS.**

6.1 Using Logarithms to Solve Exponential Equations.

6.2 Using Natural Logarithms to Solve Exponential Equations Base e.

6.3 Visualizing and Applying Logarithmic Functions.

6.4 Using Semi-Log Plots to Construct Exponential Models for Data.

**C H A P T E R 7. POWER FUNCTIONS.**

7.1 The Tension between Surface Area and Volume.

7.2 Direct Proportionality: Power Functions with Positive Powers.

7.3 Visualizing Positive Integer Power Functions.

7.4 Comparing Power and Exponential Functions.

7.5 Inverse Proportionality: Power Functions with Negative Powers.

7.6 Visualizing Negative Integer Power Functions.

7.7 Using Logarithmic Scales to Find the Best Functional Model.

**CHAPTER 8. QUADRATICS AND THE MATHEMATICS OF MOTION.**

8.1 An Introduction to Quadratic Functions: The Standard Form.

8.2 Visualizing Quadratics: The Vertex Form.

8.3 The Standard Form vs. the Vertex Form.

8.4 Finding the Horizontal Intercepts: The Factored Form.

8.5 The Average Rate of Change of a Quadratic Function.

8.6 The Mathematics of Motion.

**CHAPTER 9. NEW FUNCTIONS FROM OLD.**

9.1 Transformations.

9.2 The Algebra of Functions.

9.3 Polynomials: The Sum of Power Functions.

9.4 Rational Functions: The Quotient of Polynomials.

9.5 Composition and Inverse Functions.

9.6 Exploring, Extending & Expanding.

APPENDIX Student Data Tables for Exploration 2.1.

Data Dictionary for FAM1000 Data.

SOLUTIONS For all Algebra Aerobics and Check Your Understanding problems; for odd-numbered problems in the Exercises and Chapter Reviews.

All solutions are grouped by chapter ANS-1.

INDEX.