Introduction to Functions and Graphs in pdf

Contents

• Introduction to Functions
  • Definition of Function, Function Notation
  • Evaluating Functions, Domain of a Function, Applying Functions
  • Exercices and Answers to Introduction to functions
• Graphs of Functions
  • Domain and Range from Graphs
  • Catalog of Basic Functions, Piecewise Functions
  • Increasing, Decreasing and Constant
  • Exercices and Answers to Graphs of Functions
• Transformations of Functions
  • Horizontal and Vertical Shifts, Reflections about the x- and y-axis
  • Vertical Stretch and Shrink, Combining Transformations
  • Even and Odd Functions
  • Excerices and answers to Transformations of Functions
• Maximum/Minimum Function Values
  • Quadratic Functions, Zeros of Quadratic Functions
  • Local Maximum and Minimum Values, Local Extreme Values: Applications
  • Excerices and answers to Maximum/Minimum Function Values
• Combinations of Functions
  • Sum, Difference, Product and Quotient, Function Composition
  • Exercices and answers
• Inverse Functions
  • Inverse Relations, One-to-One Functions
  • Definition of Inverse Function, Finding The Inverse of a Function
  • Exercices and answers to Inverse Functions