Intermediate Algebra Functions and Authentic Applications
For courses in Intermediate Algebra that incorporate a graphing calculator.Unique and enthusiastic in its approach, Lehmann's text is a rich combination of important skills, concepts, and applications. This text captivates students' and instructors' interest as they use curve fitting to model current, compelling, and authentic situations. The curve fitting approach emphasizes concepts related to functions in a natural, substantial way and encourages students to view functions graphically, numerically, and symbolically as well as to verbally describe concepts related to functions. The examples in the test demonstrate both how to perform skills and how to investigate concepts. Students learn why they perform skills to solve problems as well as how to solve the problems. Explorations deepen students' understanding as they investigate mathematics with graphing calculator and pencil and paper activities.
- Paperback | 608 pages
- 210.82 x 276.86 x 27.94mm | 1,496.85g
- 07 Mar 2000
- Pearson Education (US)
- United States
Table of contents
(NOTE: Each chapter ends with a Lab Activity, Chapter Summary, Chapter Review Exercises, and Chapter Test.)1. Linear Functions. Using Qualitative Graphs to Describe Situations. Sketching Graphs of Linear Equations. Slope of a Line. Slope and Intercepts. Finding Linear Equations. Functions.2. Modeling with Linear Functions. Using Lines to Model Data. Finding Equations for Linear Models. Function Notation and Making Predictions. Slope is a Rate of Change.3. Systems of Linear Functions. Using Graphs to Solve Systems. Using Equations to Solve Systems. Using Systems to Model Data. Linear Inequalities in One Variable.4. Exponential Functions. Properties of Exponents. Rational Exponents. Sketching Graphs of Exponential Functions. Finding Exponential Equations. Using Exponential Functions to Model Data.5. Logarithmic Functions. Finding Inverse Functions of Linear Functions. Logarithmic Functions. Properties of Logarithms. More Properties of Logarithms. Using the Power Property to Make Predictions.6. Quadratic Functions. Sketching Graphs of Functions in Vertex Form. Expanding and Factoring Quadratic Expressions. Factoring Quadratic Expressions. Using Factoring to Solve Quadratic Equations. Sketching Graphs of Quadratic Functions in Standard Form.7. Using Quadratic Functions to Model Data. Solve Quadratic Equations By Extracting the Roots. Solve Quadratic Equations By Completing the Square. Solve Quadratic Equations By Using the Quadratic Formula. Solving Systems of Three Equations to Find Quadratic Equations. Solving Systems to Find Equations of Quadratic Models. Modeling with Quadratic Functions.8. Rational Functions. Simplifying and Finding the Domain of Rational Functions. Multiplying and Dividing Rational Functions. Adding and Subtracting Rational Functions. Solving Rational Equations. Using Rational Functions to Model Data.9. Radical Functions. Simplifying Radical Functions. Operations of Radical Functions. Solving Radical Equations. Sketching Graphs of Radical Functions. Using Radical Functions to Model Data.10. Modeling with Sequences and Series. Arithmetic Sequences. Geometric Sequences. Arithmetic Series. Geometric Series.11. Additional Topics. Absolute Value Equations and Inequalities. Inequalities in Two Variables. Natural Logarithms. Complex Numbers. Pythagorean Theorem, Distance Formula, and Circles. Ellipses and Hyperbolas. Solving Nonlinear Systems of Equations.Appendix A. Reviewing Prerequisite Material. Appendix B. Using a TI-82 or TI-83 Graphing Calculator. Appendix C. Comparing TI-82/83/85/86 Calculator Commands.