Use Limits to Describe the Behavior of the Rational Function $$f ( x ) = - \frac { 8 } { x + 2 }$$

question 106

Multiple Choice

Use limits to describe the behavior of the rational function near the indicated asymptote.
- $$f ( x ) = - \frac { 8 } { x + 2 }$$
Describe the behavior of the function near its vertical asymptote.

• A) \(\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = \infty\)
• B) \(\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = - \infty\)
• C) \(\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = - \infty\).
• D) \(\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = 0 , \quad \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = 0\)

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Definitions:

Demand Curve

The demand curve is a graphical representation showing the relationship between the quantity of a good consumers are willing to buy and its price.

Fewer Units

A scenario where a smaller quantity of a product is being produced, stocked, or sold, possibly due to lower demand or strategic decision-making.

Given Price

A specified cost at which a product or service is offered to consumers.

Inelastic Demand

A situation where the demand for a product does not significantly change with a change in price.