What is the end behavior of the greatest integer function?

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Amory W.
Sep 24, 2014

The end behavior is #y=x#. The left end goes to #-oo# and the right end goes to #oo#.

As #x# gets large positively or negatively, the decimal part becomes very small. If you extend the below graph, you should see that it looks like #y=x#. Another name for the greatest integer function is the floor function.
enter image source here
Note that desmos doesn't draw open circles on the right end of the line segments.

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