SOLUTION: The maximum number of vertical asymptotes a rational function can have is infinite. True False

Algebra ->  Rational-functions -> SOLUTION: The maximum number of vertical asymptotes a rational function can have is infinite. True False       Log On


   



Question 80694: The maximum number of vertical asymptotes a rational function can have is infinite.
True
False


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
True.
If (x-a) is a factor in the denominator and (x-a) is not a factor
in the numerator there will be a vertical asymptote for every possible
Real value of "a". Since there are infinitely many values a can take
there are infinitely many possible vertical asymptotes.
Cheers,
Stan H.