Explorations in college algebra

INDICE: 1. An Introduction to Data and Functions 1.1 Describing Single-Variable Data Visualizing Single-Variable DataNumerical Descriptors: What is 'Average' Anyway? An Introduction to Algebra Aerobics An Introduction to Explore and Extend 1.2 Describing Relationships between Two Variables Visualizing Two-Variable Data Constructing a '60-Second Summary' Using Equations to Describe Change 1.3 An Introduction to Functions What is a Function?Representing Functions: Words, Tables, Graphs and EquationsInput and Output: Independent and Dependent VariablesWhen is a Relationship Not a Function? 1.4 The Language of FunctionsFunction Notation Domain and Range 1.5 Visualizing Functions Is There a Maximum or Minimum Value? When is the Output of the Function Positive, Negative orZero?Is the Function Increasing or Decreasing? Is the Graph Concave Up or Concave Down? Getting the Big Idea Chapter Summary Check Your Understanding Chapter 1 Review: Putting it all Together Exploration 1.1 Collecting, Representing,and Analyzing Data 2. Rates of Change and Linear Function 2.1 Average Rates of Change Describing Change in the U.S. Population over Time Defining the Average Rate of Change Limitations of the Average Rate of Change 2.2 Change in the Average Rate of Change 2.3 The Average Rate of Change is a Slope Calculating Slopes 2.4 Putting a Slant on Data Slanting the Slope: Choosing Different End Points Slanting the Data with Words and Graphs 2.5 Linear Functions: When Ratesof Change are Constant What if the U.S. Population Had Grown at a Constant Rate?Real Examples of a Constant Rate of Change The General Equation for a Linear Function 2.6 Visualizing Linear Functions The Effect of b The Effect of m 2.7 Finding Graphs and Equations of Linear Functions Finding the Graph Finding the Equation 2.8 Special Cases Direct Proportionality Horizontal and Vertical Lines Parallel and Perpendicular Lines 2.9 Breaking the Line: Piecewise Linear FunctionsPiecewise Linear Functions The absolute value functionStep functions 2.10 Constructing Linear Models for Data Fitting a Line to Data: The Kalama Study Reinitializing the Independent Variable Interpolation and Extrapolation: Making Predictions 2.10 Looking for Links between Education and Earnings: UsingRegression LinesUsing U.S. Census DataSummarizing the Data: Regression LinesRegression Line: How good a fit?Interpreting Regression Lines: Correlation vs. CausationRaising More Questions: Going Deeper Chapter Summary Check Your Understanding Chapter 2 Review: Putting it all Together Exploration 2.1 Having it Your Way Exploration 2.2 A Case Study on Education and Earnings 3. When Lines Meet: Linear Systems 3.1 Interpreting Intersection Points: Linear and Non-linear SystemsWhen Curves Collide: Non-linear SystemsWhen Lines Meet: Linear System3.2 Visualizing and Solving Linear SystemsVisualizing Linear Systems Strategies for Solving Linear SystemsLin

• ISBN: 978-0-470-46644-5
• Editorial: John Wiley & Sons
• Encuadernacion: Rústica
• Páginas: 768
• Fecha Publicación: 29/12/2010
• Nº Volúmenes: 1
• Idioma: Inglés