Find the Absolute Extreme Values of the Function on the Interval

question 312

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$F ( x ) = - \frac { 2 } { x ^ { 2 } } , 0.5 \leq x \leq 5$$

• A) absolute maximum is \(- \frac { 2 } { 25 }\) at \(x = 5\); absolute minimum is \(- 8\) at \(x = \frac { 1 } { 2 }\)
• B) absolute maximum is \(- \frac { 2 } { 25 }\) at \(x = 5\); absolute minimum is \(- 8\) at \(x = - \frac { 1 } { 2 }\)
• C) absolute maximum is \(\frac { 2 } { 25 }\) at \(x = \frac { 1 } { 2 }\); absolute minimum is \(- 8\) at \(x = 5\)
• D) absolute maximum is \(- \frac { 2 } { 25 }\) at \(x = \frac { 1 } { 2 }\); absolute minimum is \(- 8\) at \(x = - 5\)

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Definitions:

Purely Competitive

A market structure characterized by an infinite number of buyers and sellers, products that are identical, and no control over the market price by individual firms.

Marginal Product

Represents the additional output that can be produced by adding one more unit of a specific input, keeping other inputs constant.

Productivity

A measure of the efficiency of production, often quantified as the ratio of outputs (goods and services) produced per input used (such as labor, materials, and capital).

Resource

An economic or productive factor required to accomplish an activity, often considered in terms of time, labor, capital, and materials.