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

question 154

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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Definitions:

Chronic Cocaine User

An individual who persistently and repeatedly uses cocaine over a long period, often leading to physiological dependency and various health issues.

Cocaine

A powerful stimulant drug derived from the coca plant, known for its addictive properties and effects on the central nervous system.

Cravings

Intense desires or urges for a specific substance or experience, often seen in the context of addiction.

Withdrawal

An increase in the intensity of the opponent B state following the termination of the event.