Consider the function \( f ( x ) = 2 x ^ { 3 } + 18 x ^ { 2 } - 240 x + 9 , - 10 \leq x \leq 5 \) . Find the absolute minimum value of this function. Answer: Find the absolute maximum value of this function. Answer:
Question
Answer
Local maximum
\( \max \{ 2 x ^ { 3 } + 18 x ^ { 2 } - 240 x + 9 \} = 2209 \) at \( x = - 10\)
Local minimum
\( \min \{ 2 x ^ { 3 } + 18 x ^ { 2 } - 240 x + 9 \} = - 535 \) at \( x = 4\)