# Curved Asymptotes

Homework Helper
Does the definition of an asymptote extend beyond the straight lines?

In an assignment I stated that for the graph $$y=x^2+\frac{1}{x}$$ there is an asymptote of $$y=x^2$$ for x approaching $$\pm \infty$$. However, my teacher says that she doesn't believe it to be considered an asymptote.

So was I right or wrong to make this statement?