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Algebra
Question

Consider the function \( f ( x ) = 12 x ^ { 5 } + ...

Consider the function \( f ( x ) = 12 x ^ { 5 } + 60 x ^ { 4 } - 240 x ^ { 3 } + 1 \) 

\( f ( x ) \) has inflection points at (reading from left to right) \( x = D , E \) , and \( F \) where \( D \) is and \( E \) is and \( F \) is For each of the following intervals, tell whether \( f ( x ) \) is concave up or concave down. 

\( ( - \infty , D ) \) : Select an answer \( \vee \) 

\( ( D , E ) \) : Select an answer \( \vee \) 

\( ( E , F ) : \) Select an answer \( \vee \) 

\( ( F , \infty ) : \) Select an answer \( \vee\) 

Answer

Solution
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