Find vertical asymptotes, holes, and horizontal asymptote

I'm in analytic geometry, but this problem says to analyze the function algebraically. List its vertical asymptotes, holes, and horizontal asymptote:

f(x)=(-4x^{2}+1)/(x^{2})

Also, I don't quite understand what an asymptote is... I would greatly appreciate it if someone could explain

Re: Find vertical asymptotes, holes, and horizontal asymptote

Quote:

Originally Posted by

**hubbabubba590** I'm in analytic geometry, but this problem says to analyze the function algebraically. List its vertical asymptotes, holes, and horizontal asymptote:

f(x)=(-4x^{2}+1)/(x^{2})

Also, I don't quite understand what an asymptote is... I would greatly appreciate it if someone could explain

Re: Find vertical asymptotes, holes, and horizontal asymptote

Quote:

Originally Posted by

**hubbabubba590** Also, I don't quite understand what an asymptote is... I would greatly appreciate it if someone could explain

Graphing Rational Functions: Introduction