State Whether the Function Is an Exponential Growth Function or Exponential

question 243

Multiple Choice

State whether the function is an exponential growth function or exponential decay function, and describe its end
behavior using limits.
- $$\mathrm { f } ( \mathrm { x } ) = \mathrm { e } ^ { 5 \mathrm { x } }$$

• A) Exponential growth function; \(\lim _ { x \rightarrow \infty } f ( x ) = 0 ; \lim _ { x \rightarrow \infty } f ( x ) = \infty\)
• B) Exponential decay function; \(\lim _ { x \rightarrow \infty } f ( x ) = 0 ; \lim _ { x \rightarrow \infty } f ( x ) = \infty\)
• C) Exponential growth function; \(\lim _ { x \rightarrow \infty } f ( x ) = \infty ; \lim _ { x \rightarrow \infty } f ( x ) = 0\)
• D) Exponential decay function; \(\lim _ { x \rightarrow \infty } f ( x ) = \infty ; \lim _ { x \rightarrow \infty } f ( x ) = 0\)

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Definitions:

Excess Capacity

A situation where a company can produce more goods or provide more services than currently demanded, indicating unused productive potential.

Special Order

A one-time customer order often involving a large quantity and requiring a separate pricing or product specification arrangement.

Special Order Price

The price charged for a product or service that is outside the company's normal scope of work or products; often tailored pricing for a specific customer request.

Variable Costing

A costing method that includes only variable production costs—direct materials, direct labor, and variable manufacturing overhead—in product cost calculation, contrasting with absorption costing that also includes fixed costs.