Function

Defining piecewise constant functions in a GUI

Defining piecewise constant functions in a GUI
  1. Can piecewise functions be constant?
  2. How do you define a piecewise function?

Can piecewise functions be constant?

If each piece is a constant function then the piecewise function is called Piecewise constant function or Step function. The Floor Function is an example of step function that has an infinite number of pieces.

How do you define a piecewise function?

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1.

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