Use a Graphing Utility to Graph the Function Over the Indicated

question 259

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
- $$f ( x ) = x ^ { 3 } - 12 x + 2 ; ( - 5,5 )$$

• A) local maximum at \(( - 2,18 )\)
• local minimum at \(( 0,0 )\)
• local minimum at \(( 2 , - 14 )\)
• B) local minimum at \(( 0,0 )\)
• C) local maximum at \(( - 2,18 )\)
• local minimum at \(( 2 , - 14 )\)
• D) none

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Definitions:

Acetaminophen

A medication used to reduce pain and fever; known in some countries as paracetamol.

Prostaglandins

A group of physiologically active lipid compounds that have diverse hormone-like effects in animals, playing roles in inflammation, pain, and other bodily functions.

Ibuprofen

A nonsteroidal anti-inflammatory drug (NSAID) commonly used to reduce fever, pain, and inflammation.

Opiate Receptors

Proteins located in the brain, spinal cord, and gastrointestinal tract that bind opiates or opioid substances, affecting pain and pleasure responses.