The function is
.
The graph of reciprocal 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 no intercepts.
\Symmetry:
\The graph is symmetric with respect to the origin. Therefore,
is odd.
Continuity:
\The graph has an infinite discontinuity at
.
End behavior:
\
and
.
Increasing- Decreasing:
\The graph is decreasing on
and
.
Domain:
, Range:
.
The graph has no intercepts.
\The graph is symmetric with respect to the origin.
\The graph has an infinite discontinuity at
.
and
.
The graph is decreasing on
and
.