Practise rational-curve features

Sketch the graph of the following curves, indicating clearly axial intercept(s), asymptote(s) and stationary point(s), if any:

(i) $y=\dfrac1{3-x}$.

(ii) $y=\dfrac{2x+1}{x-2}$.

(iii) $y=\dfrac{x^2}{x-1}$.

(iv) $y=\dfrac{x^2+2x-3}{x+2}$.