The curve is ,
.
Graph :
\Graph the curve :
Vertical asymptote :
\The vertical asymptote is a line equation, toward which a function approaches to either positive or negative infinity.
Observe the graph.
\The vertical asymptotes are and
.
The curve is .
Find the vertical asymptote.
\Rewrite the curve.
\.
Vertical asymptote are vertical lines which correspond to the zeroes of the denominator of a rational function.
\To find the vertical asymptote, equate denominator of the function to zero.
\So
The general solution for is
, where
is an integer.
If then
.
If then
.
Therefore the vertical asymptote are and
.
The vertical asymptotes are
The exact vertical asymptotes are .