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

intercept(s) - make , simplify and solve for .

intercept(s) - make , simplify and solve for .


For the asymptotes, write in terms of to determine the natural domain. The range and asymptotes should follow.