Please, can anybody help me on this function: also sketch the graph
y^2(x^2 -1) = x + 2
thank you so much
$\displaystyle \displaystyle x$ intercept(s) - make $\displaystyle \displaystyle y = 0$, simplify and solve for $\displaystyle \displaystyle x$.
$\displaystyle \displaystyle y$ intercept(s) - make $\displaystyle \displaystyle x=0$, simplify and solve for $\displaystyle \displaystyle y$.
For the asymptotes, write $\displaystyle \displaystyle y$ in terms of $\displaystyle \displaystyle x$ to determine the natural domain. The range and asymptotes should follow.