Help please?

Write a rational function with no vertical asymptotes and no holes. Explain.

I was thinking x/x^2+1 but I can't tell if it has a vertical asymptote.

Question

Help please? 

Write a rational function with no vertical asymptotes and no holes. Explain.

I was thinking x/x^2+1 but I can't tell if it has a vertical asymptote.

anonymous · Answer

yes you are absolutely 
right

rosedewittbukater · Answer

@getusel How can I know is there's an asymptote? Those confuse me.

anonymous · Answer

find the roots of the denominator

rosedewittbukater · Answer

Also I thought it doesn't have any zeros, but now I'm thinking it might.

anonymous · Answer

if the denominator of the rational expression has a solution, it has asymptotes.if not it does not have one.

anonymous · Answer

the roots should be real number

rosedewittbukater · Answer

Does this denominator have one?

anonymous · Answer

it does not have a real solution for the denominator. This implies that it does not have any.

rosedewittbukater · Answer

How would I know if it had a vertical asymptote? Something about when you find the zeros, it can't have a common zero with the nominator. I don't think the function can be factored any more so would this be the right answer?

rosedewittbukater · Answer

Did I just say nominator? I meant numerator lol.