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 .