The curve equations are
and
.
Find the
-intercepts by equating
.


and 
and 
and
.
Substitute
in
.
.
Substitute
in
.
.
The
-intercept points are
,
and
.
Find the tangent line equations.
\The slope of the tangent line is
.

Apply derivative on each isde with respect to
.

.

Apply derivative on each isde with respect to
.

.
Substitute
and
in
.




.
When
,
is \ \

.
The slope intercept form is
.
Substitute
and
.

.
The tangent lin equation is
.
Substitute
and
in
.

.
The tangent lin equation is
.
Find the horizontal asymptotes.
\The graph has horizontal asymptotes when
.


Substitute
.



The horizontal asymptotes are
.
Find the vertical asymptotes.
\The graph has vertical asymptotes when
.



and
.
The graph has points
,
and
.
Graph the curve:
\Plot the
-intercept points are
and
.
Draw the tangent lin equations are
and
.
Draw the horizontal asymptotes are
.
plot the points has vertical asymptotes at
,
and
.
Graph of the curve is
\.