The Greatest Integer Function

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Examples, videos, worksheets, solutions, and activities to help PreCalculus students learn about the greatest integer function. It is also called the “step function” or “floor function”.

The following diagram shows an example of the greatest integer function. Scroll down the page for more examples and solutions on the greatest integer functions.

Greatest Integer Function

The Greatest Integer Function
One of the most commonly used step functions is the greatest integer function. The greatest integer function has it’s own notation and tells us to round whatever decimal number it is given down to the nearest integer, or the greatest integer that is less than the number. The graph of the greatest integer function resembles an ascending staircase.
How to evaluate the greatest integer function?

Graphing the Greatest Integer or Floor Function
Three quick graphs involving the greatest integer function.

The properties and characteristics of the Greatest Integer Function, its equation, and its graph

The greatest integer function (step function or floor function)

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