Decide If the Function Is an Exponential Function $$y = - 8 \cdot 4 ^ { x }$$

question 238

Multiple Choice

Decide if the function is an exponential function. If it is, state the initial value and the base.
- $$y = - 8 \cdot 4 ^ { x }$$

• A) Exponential Function; base \(= 4\); initial value \(= - 8\)
• B) Not an exponential function
• C) Exponential Function; base \(= x\); initial value \(= - 8\)
• D) Exponential Function; base \(= - 32\); initial value \(= 1\)

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Definitions:

Diseconomies of Scale

The phenomenon where production costs per unit increase as a firm operates on a larger scale due to inefficiencies that arise.

Long-Run Average Cost

The per-unit cost of production in the long run, where all inputs are variable and economies of scale have been reached.

Marginal Cost

The cost incurred in producing one additional unit of a product or service.

Average Total Cost

The sum of all production costs divided by the quantity of output produced, representing the per-unit cost of production.