Building a
Step Function
  1. Ceiling
  2. Greatest Integer
  3. Graphing
  4. Modeling

  
Step Function Graphs
The graphs look like a set of stairs, called step functions. These functions are discrete, or not continuous.

Notice the endpoints in each step. Since these graphs are functions, there must exist only one dependent-value (y) for every independent-integer (x). Therefore, one endpoint of a step is included (or closed) in the step with a black dot, and the other endpoint of the step is not included in the step (or open).

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