Workshop precalculus: discovery with graphing calculators, preliminary edition

INDICE: Preface. To The Instructor. Preface. To The Student. Activity P-1. Using the Concept of Function to Buy Pizza. Activity P-2. Getting Started withYour Graphing Calculator. UNIT 1. PROPERTIES OF FUNCTIONS. Section 1. Analyzing Linear Functions. Activity 1-1. Creating Linear Functions. Activity 1-2. Investigating Piecewise-Linear Functions. Activity 1-3. Interpreting Graphs. Section 2. Analyzing Smooth Curves. Activity 1-4. Developing an Intuitive Understanding of a Tangent Line to a Curve. Activity 1-5. Investigating the Behavior of the Tangent Line Near a Turning Point. Activity 1-7. Contemplating Concavity. Activity 1-7. Interpreting Sign Charts. Section 3. Representing Functions. Activity 1-8. Evaluating Expressions and Using Variables. Activity 1-9. Representing Functions Symbolically. Activity 1-10. Representing Functions Graphically. Activity 1-11. Representing Functions Numerically. Activity 1-12. Constructing Discrete Functions. UNIT 2. POLYNOMIAL AND RATIONAL FUNCTIONS. Section 1.Power Functions. Activity 2-1. Examining Positive Integer Power Functions. Activity 2-2. Inspecting Negative Integer Power Functions. Activity 2-3. Scrutinizing Root Functions. Section 2. Polynomial Functions. Activity 2-4. Probing Polynomials. Activity 2-5. Finding the Vertex of a Parabola. Activity 2-6. Drawing and Interpreting the Sign Chart for a Higher-Order Polynomial. Activity 2-7. Examining the Multiplicity of a Zero of Polynomial. Activity 2-8. Approximating the Turning Points and Investigating the Long-Run Behavior of a Polynomial. Section 3. Rational Functions. Activity 2-9. Locating Holes in Graphs of Rational Functions. Activity 2-10. Investigating the Behavior of a Rational Function Near a Vertical Asymptote. Activity 2-11. Locating the Intercepts of Rational Functions. Activity 2-12. Analyzing the Long-Run Behavior of Rational Functions. Activity 2-13. Sketching the Graph of a Rational Function. UNIT 3. NEWFUNCTIONS FROM OLD. Section 1. Combining Functions. Activity 3-1. Evaluating Combinations of Functions. Activity 3-2. Combining Functions. Activity 3-3. Composing Functions. Section 2. Reflecting Functions. Activity 3-4. Sketching Reflections. Activity 3-5. Representing Reflections Symbolically. Activity 3-6. Investigating Inverse Functions. Section 3. Shifting, Stretching, and Compressing Graphs of Functions. Activity 3-7. Vertically Shifting a Graph. Activity 3-8. Horizontally Shifting a Graph. Activity 3-9. Vertically Stretching or Compressing a Graph. Activity 3-10. Horizontally Stretching or Compressing a Graph. Activity 3-11. Combing Transformations. UNIT 4. MORE FUNCTION CLASSES. Section 1. Exponential and Logarithmic Functions. Activity 4-1. Modeling SituationsUsing Exponential Functions. Activity 4-2. Comparing Exponential Functions. Activity 4-3. Investigating the Relationship Between Exponential and Logarithmic Functions. Activity 4-4. Evaluating and Graphing Logarithmic Functions. Activity 4-5. Examining the Number e and the Natural Exponential and Logarithmic Functions. Activity 4-5. Solving Exponential and Logarithmic Equations. Section2. Trigonometric Functions. Activity 4-7. Measuring Angles. Activity 4-8. Finding Trigonometric Functions of Acute Angles. Activity 4-9. Evaluating Trigonometric Functions. Activity 4-10. Graphing Trigonometric Functions. Section 3. Analytic Trigonometry. Activity 4-11. Defining Inverse Trigonometric Functions. Activity 4-12. Solving Trigonometric Equations. Activity 4-13. Verifying Multiple Angle Formulas. Activity 4-14. Utilizing the Law of Cosines. Activity 4-15. Utilizing the Law of Sines. Section 4. Fitting Curves to Discrete Functions. Activity 4-16. Modeling Data. Appendix. Using the TI-83 Graphing Calculatorin Workshop Precalculus. Index.

• ISBN: 978-0-470-41251-0
• Editorial: John Wiley & Sons
• Encuadernacion: Rústica
• Páginas: 518
• Fecha Publicación: 12/09/2008
• Nº Volúmenes: 1
• Idioma: Inglés