State Whether the Function Is an Exponential Growth Function or Exponential

question 193

Multiple Choice

State whether the function is an exponential growth function or exponential decay function, and describe its end
behavior using limits.
- $$f ( x ) = 3 ^ { - x }$$

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

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Definitions:

Dividend

A portion of a company's earnings distributed to its shareholders, typically in cash or additional shares.

Dividend Per Share

The sum of money paid by a company to its shareholders, divided by the total number of shares outstanding, usually expressed as a dollar amount per share.

Preferred Stock

A class of ownership in a corporation that has a higher claim on assets and earnings than common stock, usually with no voting rights but with a fixed dividend.

Common Stock

Represents equity ownership in a corporation, giving holders voting rights and a share in the company's profits through dividends.