Precalc0105to0107-page7

Precalc0105to0107-page7 - (Section 1.5: Piecewise-Defined...

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(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.7 We may think of these as piecewise constant functions. For example, the greatest integer (or floor) function is given by: fx () = x ± ² ³ ´ µ or x ± ² ³ ´ = · µ 2, µ 2 x < µ 1 µ 1, µ 1 x < 0 0, 0 x < 1 1 x < 2 2, 2 x < 3 · · ¸ ¹ ¹ ¹ ¹ º ¹ ¹ ¹ ¹ Example 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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This document was uploaded on 12/29/2011.

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