(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.7 We may think of these as piecewise constantfunctions. For example, the greatest integer (or floor) function is given by: fx()=x±²³´µ¶orx±²³´=·µ2,µ2¶x<µ1µ1,µ1¶x<00,0¶x<11¶x<22,2¶x<3··¸¹¹¹¹º¹¹¹¹Example 6 (Graphing the Greatest Integer or Floor Function)Looking at its graph below, we can see why the greatest integer function is called a staircase function.
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