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Algebra
Question

Consider the function \( f ( x ) = 2 x ^ { 3 } + 1...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: 

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 \( x = 4\) 

Solution
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