Greatest Integer Function: Graph
How to graph the greatest integer function on a coordinate plane: 2 examples and their solutions.
Example 1
Example
Solution
First, lightly draw y = x
on the coordinate plane.
Slope-Intercept Form
Draw full circles on the graph
where the y values are integers.
y = ..., -3, -2, -1, 0, 1, 2, 3, ...
Draw empty circles
under the full circles.
(under 1 unit)
If doable,
draw horizontal lines
between the full circle and the empty circle.
This is the graph of
y = [x].
Example 2
Example
Solution
First, lightly draw y = -(1/2)x + 1
on the coordinate plane.
Draw full circles on the graph
where the y values are integers.
y = ..., -3, -2, -1, 0, 1, 2, 3, ...
Draw empty circles
under the full circles.
(under 1 unit)
If doable,
draw horizontal lines
between the full circle and the empty circle.
This is the graph of
y = [-(1/2)x + 1].