For every rational function below: (i) express domain, (ii) Find all x- and y- intercepts, (iii) Find any horizontal, vertical and slant asymptotes, (iv) using the facts (and plotting the few additional points) give the rough sketch of function, but clearly showing asymptote lines.
i) f(x)= 5/(x-2)
ii) g(x)= (x^2-2x-8)/(x^2-9)
iii) h(x)= (x+2)/(x+4)
iv) f(x)= (x^2+5)/x