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Algebra
Question

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:

$$\max \{ 2 x ^ { 3 } + 18 x ^ { 2 } - 240 x + 9 \} = 2209$$ at $$x = - 10$$
$$\min \{ 2 x ^ { 3 } + 18 x ^ { 2 } - 240 x + 9 \} = - 535$$ at $$x = 4$$