How do you identify all asymptotes or holes for #f(x)=(x^2-2)/x#?
1 Answer
Jan 18, 2017
The vertical asymptote is
The slant asymptote is
No holes and no horizontal asymptote.
Explanation:
The domain of
As we cannot divide by
The vertical asymptote is
We can rewrite
Therefore,
The slant asymptote is
graph{(y-(x^2-2)/x)(y-x)=0 [-11.25, 11.25, -5.625, 5.62]}