Determine the Average Rate of Change for the Function $$h ( x ) = - \frac { 1 } { 2 } x - 1$$

question 182

Multiple Choice

Determine the average rate of change for the function.
- $$h ( x ) = - \frac { 1 } { 2 } x - 1$$

• A) \(- 1\)
• B) \(\frac { 1 } { 2 }\)
• C) \(- \frac { 1 } { 2 }\)
• D) 1

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Definitions:

Increasing Returns to Scale

A situation in which a proportionate increase in all inputs leads to a greater proportional increase in output, indicating improved production efficiency.

Diminishing Marginal Returns

A principle stating that if one factor of production is increased while others remain constant, the overall returns will gradually decrease after a certain point.

Long-Run Average Cost Curves

A graphical representation showing the average cost per unit of output over a long period, where all inputs, including capital, are variable.

Economies of Scale

Cost advantages that enterprises obtain due to their scale of operation, leading to a reduction in average costs per unit as output increases.