Introduction to Functions and Graphs

Contents

• Introduction to FunctionsDefinition of Function, Function Notation
  Evaluating Functions, Domain of a Function, Applying Functions
  Exercices and Answers to Introduction to functions
  
• Graphs of FunctionsDomain and Range from Graphs
  Catalog of Basic Functions, Piecewise Functions
  Increasing, Decreasing and Constant
  Exercices and Answers to Graphs of Functions
  
• Transformations of FunctionsHorizontal 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 ValuesQuadratic Functions, Zeros of Quadratic Functions
  Local Maximum and Minimum Values, Local Extreme Values: Applications
  Excerices and answers to Maximum/Minimum Function Values
  
• Combinations of FunctionsSum, Difference, Product and Quotient, Function Composition
  Exercices and answers
  
• Inverse FunctionsInverse Relations, One-to-One Functions
  Definition of Inverse Function, Finding The Inverse of a Function
  Exercices and answers to Inverse Functions
  

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