How many vertical asymptotes are there on the following rational function?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
We note that any point on a rational function that results in an answer of the form f ( x ) = 0 k , k = 0 is a vertical asymptote. We can set the denominator to zero to find all possible asymptotes. Since the denominator is just x , we have x = 0 as the only possible asymptote. We can verify that the answer for f ( 0 ) is in the form 0 1 0 1 2 3 . By our definition above, this is a vertical asymptote. Thus, the answer is 1