Unit 1: Exponential Functions

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Essential Questions: 
  • What is exponential growth?
  • What is an exponential function and how does it behave?
  • How can we use a recursive definition to express a sequence of numbers?
  • Recursive definitions for sequences
  • Real number exponents and rules for using exponents
  • Exponential Functions
  • Applications of exponential functions
  • Solving exponential equations
Skills and Processes: 
  • Given a sequence, write its recursive definition
  • Given a recursive definition for a sequence, write the sequence
  • Prove laws of exponents for rational number exponents
  • Use exponential models to solve problems involving exponential growth and decay
  • Use a calculator to find exponential models and solve exponential equations