$[12$ marks$]$ Using calculus and showing all your working, sketch the function

$f(x)=\frac{x^2+2x-3}{x^2-4}$

noting the domain $off(x),$ any intercepts $or$ asymptotes, symmetry, regions where the

function $is$ increasing $or$ decreasing and any relative extrema. Note: You don't have $to$

consider the second derivative and concavity.