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. \(f ( - 6 ) = 0\)

Grasp the meaning and importance of GDP as a measure of economic output and performance.

Understand the fundamental human need to belong and its effects on behavior and mental states.

Delineate the social and psychological impacts of social acceptance versus exclusion.

Recognize the role of attraction in forming and maintaining social relationships.

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