Identify the Function's Extreme Values in the Given Domain, and Say

question 334

Multiple Choice

Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme
values, if any, are absolute.
- $h ( x ) = x ^ { 3 } + 3 x ^ { 2 } + 8 x + 2 , \Leftrightarrow < x \leq 0$

• A) local and absolute maximum: 2 at x = 0;
• B) no local extrema; no absolute extrema
• C) local and absolute maximum: 2 at x = 0;.
• D) local and absolute minimum: 1 at x = -1; local and absolute minimum: 1 at x = -1

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Definitions:

Nitrogen Metabolism

The process by which nitrogen is taken up, transformed, and made available to all living organisms, crucial for amino acid and nucleotide synthesis.

Respiration Enzymes

Respiration enzymes are proteins involved in the process of cellular respiration, facilitating reactions that convert nutrients into energy.

Molybdenum

A chemical element with the symbol Mo and atomic number 42, essential for most organisms as a trace dietary mineral.

Electron Transport

A series of reactions that transfer electrons from electron donors to electron acceptors via redox reactions, coupled with the transfer of protons across a membrane.