Floor, Ceiling, and Round

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

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 .