Suppose $f(x)=\frac{6 x^2-9}{x^3-13}$.

1. Evaluate $f(9)$.
   
2. What are the $x$-intercepts of $f(x)$? Write your answer as an ordered pair.
   
3. What is the $y$-intercept of $f(x)$? Write your answer as an ordered pair.
   
4. Write the equation of the vertical asymptote of $f(x)$.
   
5. Write the equation of the horizontal asymptote of $f(x)$.