Find All Relative Extrema of the Function $f ( x ) = - 4 x ^ { 2 } - 32 x - 62$

question 125

Multiple Choice

Find all relative extrema of the function $f ( x ) = - 4 x ^ { 2 } - 32 x - 62$ . Use the Second Derivative Test where applicable.

• A) relative \(\max : f ( 0 ) = - 62\); no relative \(\min\)
• B) no relative max; no relative \(\min\)
• C) relative min: \(f ( - 4 ) = 2\); relative \(\max : f ( 0 ) = - 62\)
• D) relative min: \(f ( - 4 ) = 2\); no relative \(\max\).
• E) relative min: \(f ( - 4 ) = 2\); relative \(\max : f ( 0 ) = - 62\).

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