# Math Help - find: each case the intercepts, domain, range and vertical and horizontal asymptote

1. ## find: each case the intercepts, domain, range and vertical and horizontal asymptote

Please, can anybody help me on this function: also sketch the graph

y^2(x^2 -1) = x + 2

thank you so much

2. $\displaystyle x$ intercept(s) - make $\displaystyle y = 0$, simplify and solve for $\displaystyle x$.

$\displaystyle y$ intercept(s) - make $\displaystyle x=0$, simplify and solve for $\displaystyle y$.

For the asymptotes, write $\displaystyle y$ in terms of $\displaystyle x$ to determine the natural domain. The range and asymptotes should follow.