1.1 Graphs of Polynomial Functions

1.2 Polynomial Functions from Data

1.3 Division of Polynomials

1.4 The Remainder Theorem

2.1 Factor Theorem

2.2 The Factor Theorem Extended

2.3 Solving Polynomial Equations

2.4 Properties of the Roots of Quadratic Equations

2.5 Solving Polynomial Inequalities

2.6 Absolute Value Functions

3.1 The Slope of a Tangent

3.2 Rates of Change

3.3 The Limit of a Function

3.4 Properties of Limits

3.5 Continuity

Chapter Review

Chapter Test

4.1 The Derivative Function

4.2 The Derivatives of Polynomial Functions

4.3 Product Rule

4.4 The Quotient Rule

4.5 Composite Functions

4.6 Chain Rule

5.1 Implicit Differentiation

5.2 Higher-Oder Derivatives, Velocity, and Acceleration

5.3 Related Rates

5.4 Maximum and Minimum on an Interval

5.5 Optimization Problems

5.6 Optimizing in Economics and Science

6.1 Laws of Exponents

6.2 Investigating f(x) = b^x

6.3 Transformations of Exponential Functions

6.4 Exponential Growth and Decay

6.5 Modelling Data Using the Exponential Function

7.1 The Logarithmic Function

7.2 Properties of Logs

7.3 Solving Logarithmic Equations

7.4 Applications of Logs

7.5 Change of Base

8.1 Derivatives of Exponential Functions

8.2 The Derivatives of the Natural Logarithmic Function

8.3 Derivatives of General Exponential and Logarithmic Functions

8.4 Optimization Problems

8.5 Logarithmic Differentiation

9.1 Increasing and Decreasing Functions

9.2 Critical Points, Relative Maxima, and Relative Minima

9.3 Vertical and Horizontal Asymptotes

9.4 Concavity and Points of Inflection

9.5 An Algorithm for Graph Sketching