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

question 104

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.
- $$f ( x ) = ( x + 7 ) ^ { 2 } , \Leftrightarrow < x \leq 0$$

• A) local maximum: 49 at x = 0;
• B) local and absolute minimum: 0 at x = -7 local and absolute absolute minimum: 0 at x = -7
• C) no local extrema; no absolute extrema
• D) local and absolute maximum: 49 at x = 0; local and absolute minimum: 0 at x = -7

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Definitions:

Marginal Returns

The additional output that is produced as a result of increasing one more unit of an input while holding other inputs constant.

Marginal Cost

The additional cost incurred from the production of one more unit of a product or service.

Total Cost

The complete cost of production that includes both fixed and variable costs.

Opportunity Cost

The best alternative that we forgo, or give up, when we make a choice or a decision.