Functions

Functions

1. Definition: A relation where each input has exactly one output.

   • Relation: Any relationship between two things.

2. Inverse Function: A function where it's original function switches it's input and output.

   • To Find One: Switch x and y and solve for y.
   • The original and it's inverse cancel each other out.

3. Max. and Min.

   • Relative Max and Min: The Max/Min value in its immediate area.
   • Absolute Max and Min: The Max/Min value for the whole function.

4. Domain/Range

   • Domain: All possible x-values.
   • Range: All possible y-values.

5. Increasing/Decreasing Interval: The interval at which the function increases or decreases.

6. Even/Odd Functions

   • Odd Function: A function where -f(x)=f(x)
   • Even Function: A function where f(x)=f(-x)