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
\.