The function is
.
\
Intercept :
\Find the
-intercept,
.


.
The
-intercept is
.
Find the
-intercept,
.

The
-intercept,
.
Find the extrema for
.
Differentiate on each side with respect to
.
.

Find the critical numbers substitute
.

The critical number is at
.
Find the points of inflection of the graph
, then either
.
The first derivative of
is
.
Find the second derivative of
, derivative on
each side with respect to
.
.


The second derivative of
is
.
Find inflection points we make
.
There are no inflection points.
\Find asymptote of function
.
Find horizontal asymptote
.
.


.
There is no horizontal asymptote.
\Find vertical asymptote,equate denominator to zero.
\The function is defined for all values of
.
There is no vertical asymptote.
\Graph the function
.
Observe the graph:
\The intercepts are
,
.
There is no relative extrema value.
\The critical number is at
.
There are no inflection points.
\No vertical asymptote.
\No horizontal Asymptote.
\The intercepts are
,
.
There is no relative extrema value.
\The critical number is at
.
There are no inflection points.
\No vertical asymptote.
\No horizontal Asymptote.
\Graph the function
:
.gif\")