Originally Posted by
Resilient ...
what can we say about the asymptotes of
? I see that it has vertical asymptote at x = 1, x = -1 and x = 0, but I'm not sure what else
Originally Posted by
Resilient Sorry, I meant
1. As you stated correctly the vertical asymptotes correspond to the zeros of the denominator.
2. To get the horizontal or slanted asymptotes transform the term of the function into a complete polynomial and a fraction: Code:
x^2 + 1
(x^4 + 1) ÷ (x^3 - x) = x + -----------
-(x^4 - x^2) x^3 - x
------------
x^2 + 1
The none-fractional part of the term is the term of the slanted asymptote. That means in your case the slanted asymptote has the equation: