Chapter 1. Making Sense of Data and Functions.1.1 Describing Single Variable Data.
1.2 Describing Relationships Between Two Variables.
1.3 An Introduction to Functions.
1.4 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 Finding Graphs and Equations of Linear Functions.
2.8 Special Cases.
2.9 Constructing Linear Models for Data.
An Extended Exploration: Looking for Links Between Education and Earnings.
Chapter 3. When Lines Meet: Linear Systems.
3.1 Systems of Linear Equations.
3.2 Finding Solutions to Systems of Linear Equations.
3.3 Linear Inequalities: Reading Between the Lines.
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 Negative Integer Exponents.
4.4 Converting Units.
4.5 Fractional Exponents.
4.6 Orders of Magnitude.
4.7 Logarithms Base 10.
Chapter 5. Growth and Decay: An Introduction to Exponential Functions.
5.1 Exponential Growth.
5.2 Linear vs. Exponential Functions.
5.3 Exponential Decay.
5.4 Visualizing Exponential Functions.
5.5 Exponential Functions: A Constant Percent Change.
5.6 Examples of Exponential Growth and Decay.
5.7 Semi-log Plots of Exponential Functions.
Chapter 6. Logarithmic Links: Logarithmic and Exponential Functions.
6.1 Using Logarithms to Solve Exponential Equations.
6.2 Base e and Continuous Compounding.
6.3 The Natural Logarithm.
6.4 Logarithmic Functions.
6.5 Transforming Exponential Functions to Base e.
6.6 Using Semi-log Plots to Construct Exponential Models for Data.
Chapter 7. Power Functions.
7.1 The Tension Between Surface Are and Volume.
7.2 Direction Proportionality: Power Functions with Positive Powers.
7.3 Visualizing Positive Integer Powers.
7.4 Comparing Power and Exponential Functions.
7.5 Inverse Proportionality: Power Functions with Negative Integer Powers.
7.6 Visualizing Negative Integer Power Functions.
7.7 Using Logarithmic Scales to Find the Best Functional Models.
Chapter 8. Quadratics, Polynomials, and Beyond.
8.1 An Introduction to Quadratic Functions.
8.2 Finding the Vertex: Transformations of y =x2
8.3 Finding the Horizontal Intercepts.
8.4 The Average Rates of Change of a Quadratic Function.
8.5 An Introduction to Polynomial Functions.
8.6 New Functions from Old.
An Extended Exploration: The Mathematics of Motion.
Tables for Exploration 2.1.
Index.