1. ## pre calulus

find in each case the intercepts, domain, range, vertical and horizontal asymptotes,if any.sketch the graph...

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

2. $\displaystyle y^2(x^2 - 1) = x + 2$

$\displaystyle y^2 = \frac{x+2}{x^2-1}$

$\displaystyle y = \pm \sqrt{\frac{x+2}{x^2-1}}$.

To find the $\displaystyle x$ intercepts, let $\displaystyle y=0$ and solve for $\displaystyle x$.

To find the $\displaystyle y$ intercepts, let $\displaystyle x=0$ and solve for $\displaystyle y$.

To find the domain: what values can $\displaystyle x$ not take?

To find the range: what values can $\displaystyle y$ not take?

To find the asymptotes: analyse the behaviour of the graph near these points that $\displaystyle x$ and $\displaystyle y$ can not take.