Floor, Ceiling, and Round

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Move the sliders to plot the cubic equation , then pick one of the three functions.

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Floor, or the greatest integer function, gives the greatest integer less than or equal to a given value. Some examples: , , , , and .

Round, or the nearest integer function, gives the nearest integer. For an integer and a half, rounding goes to the nearest even number. Some examples: , , , , and .

Ceiling, or the least integer function, gives the least integer greater than or equal to a given value. Some examples: , , , , and .

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Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA


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