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.
Therefore, every rational function does not have a vertical asymptote.
Every rational function does not have a vertical asymptote.
The statement is false.