Graph Rational Functions and Identify Asymptotes Practice Test

For $$f(x)=\frac{x^2-4}{x-3},$$ identify the zero(s), vertical asymptote(s), and oblique asymptote.​

For $$f(x)=\frac{(x-3)(x+1)}{(x-3)(x-2)},$$ identify the zero(s), vertical asymptote(s), and any hole (removable discontinuity).