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Greatest Integer Function
(or Split Definition Function)
The Greatest Integer Function is denoted by y = [x].
For all real numbers, x, the greatest integer function returns the largest integer
less than or equal to x. In essence, it rounds down a real number to the nearest integer.
For example: [1] = 1 [1.5] = 1 [3.7] = 3 [4.3] = 4
Beware! [-2] = -2 [-1.6] = -2 [-2.1] = -3 [-5.5] = -6
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Calculator's Graph
The command for
the greatest integer function
is "int(x)".
When graphing,
simply type directly into the
entry line
"f (x) = int(x)".
The calculator will not respond to
writing the formula as f (x) = [x],
using the square brackets from the keypad.
You can also use f (x) = floor(x)
to obtain the greatest integer function.
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Actual Graph
• If copying the graph from your calculator, be sure to indicate the open and closed circles on the ends of the line segments.
• Also, look carefully at the scale locations of the segments if you are transferring the graph onto a sheet of graph paper.
• If unsure of which end is open and which end is closed, use the graph's table to show you what happens at the function's breaks.
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• You can also obtain int() or floor() by pressing the Catalog key  , locate the floor or int commands under the alphabetical menu, and pressing  . Type "x" inside the parentheses, hit , and your function graph will appear.
But it is faster and easier to just type in the commands directly, instead of searching for them. |
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