Given $f ( x ) = x ^ { 2 } + 6 x$

question 42

Multiple Choice

Given $f ( x ) = x ^ { 2 } + 6 x$ .
(a) Find the intervals on which $f$ is increasing or decreasing.
(b) Find the relative maxima and relative minima of $f$ .

• A) (a) Increasing on \(( - 3 , \infty )\),
• decreasing on \(( - \infty , - 3 )\)
• (b) Rel. min. \(f ( - 3 ) = - 9\)
• B) (a) Increasing on \(( - \infty , - 3 )\),
• decreasing on \(( - 3 , \infty )\)
• (b) Rel. max. \(f ( - 3 ) = - 9\)
• C) (a) Increasing on \(( - 6 , \infty )\),
• decreasing on \(( - \infty , - 6 )\)
• (b) Rel. min. \(f ( - 6 ) = 0\)
• D) (a) Increasing on \(( - \infty , - 6 )\),
• decreasing on \(( - 6 , \infty )\)
• (b) Rel. max. \(f ( - 6 ) = 0\)

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