The function is
.
The graph of greatest integer function has the following characteristics.
\Domain:
\The domain of the function in interval notation:
.
Domain in set notation:
.
Range:
\The range of the function in interval notation:
.
Range in set notation:
.
Intercepts:
\The graph has one
- intercept at
and
-intercepts for
.
Symmetry:
\The graph has no symmetry. Therefore,
is neither odd nor even.
Continuity:
\The graph has a jumped discontinuity for
.
End behavior:
\
and
.
Increasing- Decreasing:
\The graph is constant for
.
The graph increases for 
Domain:
, Range:
.
- intercept at
and
-intercepts for
.
The graph has no symmetry.
\The graph has a jumped discontinuity for
.
and
.
The graph is constant for
.
The graph increases for
.