Floor, Ceiling, and Round

a

0.

b

1.

c

3.

d

0

function

floor

round

ceiling

range

5

Move the sliders to plot the cubic equation

a

3

x

+b

2

x

+cx+d

, 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:

floor(3.1)=3

,

floor(-7.2)=-8

,

floor(2.5)=2

,

floor(1.5)=1

, and

floor(5)=5

.

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:

nint(3.1)=3

,

nint(-7.2)=-7

,

nint(2.5)=2

,

nint(1.5)=2

, and

nint(5)=5

.

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

ceiling(3.1)=4

,

ceiling(-7.2)=-7

,

ceiling(2.5)=3

,

ceiling(1.5)=2

, and

ceiling(5)=5

.