Week 1 - Quadratic Functions

• Graphing Quadratic Functions
  
  • Vertex form
  • Standard form
• Writing equation given points on the function
• Average rate of change 
• Intervals of increasing and decreasing
• End behavior using limit definition

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Week 2 - Polynomial Functions

• Graphing Polynomial Functions
  
  • Intercepts, Multiplicity
  • End behavior using limit definition

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Week 3 - Rational Functions

• Graphing Rational Functions 
  
  • Asymptotes - including end behavior at asymptotes
  • Intercepts
  • Holes
  • Domain and Range

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Week 4 - Transformation of Functions

• Translation of functions
  
  • Effects of translations on Domain and Range
  • Writing functions given translations
• Dilation of functions 
  
  • Effects of dilation on domain and range
  • Writing functions given dilation
• Periodic Functions
  
  • Evaluating values of the function

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Week 5 - Composition of functions

• Compositions 
• Verifying Compositions
• Inverse functions
  
  • Domain and Range

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Week 6 - Exponential Functions

• Exponential Equations
• Logarithmic equations
• Exponential and Logarithmic Inequalities
• Graphing Exponential Functions and Logarithmic Functions
  
  • Domain and Range
  • Asymptotes
  • End Behavior using limit definition

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Week 7 - Trigonometry

• Radians
  
  • Radius other than 1
  • Arc Length
• Evaluating Right Triangles
• Unit Circle
• Trigonometric Equations

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Week 8 - Graphing Trigonometric Functions

• Sine and Cosine Functions
  
  • Sinusoidal Functions
  • Transformation of sinusoidal functions
• Tangent Functions
• Inverse Trigonometric Functions

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