Core 3 - Functions

Core 3 - Functions

1. Transformations

   • Order of Transformations
   • Types of Transformations
     • Translation
       • Left/Right Translation
       • Up/Down Translation
     • Stretch
       • Parallel to the Y Axis
       • Parallel to the X Axis
     • Reflection
       • Reflection in the X axis
       • Reflection in the Y axis

2. Composite Functions

   • Order

3. Modulus Function

4. Inverse Functions

5. Even/Odd/Periodic Functions

   • Even
     • A function is even if it has the y axis as a line of symmetry
       • f(x)=Cos(x)
       • f(x)=x^2
       • f(x)=k
   • Odd
     • A function whose curve has rotational symmetry of order 2 around the origin is odd.
       • f(x)=Sin(x)
       • f(x)=Tan(x)
       • f(x)=x
   • Periodic
     • A periodic function is one whose graph has a repeating pattern.
       • f(x)=Sin(x)
       • f(x)=Cos(x)
       • f(x)=Tan(x)

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