Description
Book SynopsisA playful, readable, and thorough guide to precalculus, this book is directed at readers who would like a holistic look at the high school curriculum material on functions and their graphs. The exploration is presented through problems selected from the history of the Mathematical Association of America's American Mathematics Competition.
Table of Contents
- Functions and graphs: What is a function? A swift conceptual overview
- Sequences as functions on $\mathbb{N}$
- Numerical functions on $\mathbb{R}$
- Composite functions and inverse functions
- Graphing
- Transformations of graphs
- Average rate of change, constant rate of change
- Quadratic functions
- Polynomial functions
- Rational functions
- Select special functions and equations
- Fitting formulas to data points
- Solutions: Solutions
- Appendices: Ten problem-solving strategies
- Connections to the Common Core State Standards: Practice standards and content standards.
