Consider the function $$f(x) = 2 x^3+ 9 x^2 - 108 x+ 3 \quad \text{with}\quad - 6 \leq x \leq 4$$

This function has an absolute minimum at the point
and an absolute maximum at the point

Note: both parts of this answer should be entered as an ordered pair, including the parentheses, such as (5, 11).