Function | Horizontal Asymptote | Vertical Asymptote |
\(f(x)=\dfrac{x-2}{x-3}\) | \(y= 1\) | \(x=3\) |
\(f(x)=\dfrac{(x-2)(x-3)}{(x-1)(x-4)}\) | \(y= 1\) | \(x = 1\), \(x = 4\) |
\(f(x)=\dfrac{x^2+2}{x(x^2-1)}\) | \(y= 0\) | \(x = 0\), \(x = -1\), \(x = 1\) |
\(f(x)=\dfrac{x^4}{x+1}\) | none | \(x = -1\) |
Return to Practice (Asymptotes)