A rational function may or may not have a vertical asymptote.
\If the domain of the rational function is all real numbers, then there is no vertical asymptote.
\Consider the function is
.
The domain of the function is all possible values of
.
Re write the expression as
.
Cancel common terms.
\
.
The domain of
is all real numbers.
The function does not have any vertical asymptote.
\Every rational function does not have a vertical asymptote.
\Every rational function does not have a vertical asymptote.
\The statement is false.