Use Limits to Describe the Behavior of the Rational Function $$f ( x ) = \frac { 3 } { x - 4 }$$

question 4

Multiple Choice

Use limits to describe the behavior of the rational function near the indicated asymptote.
- $$f ( x ) = \frac { 3 } { x - 4 }$$
Describe the behavior of the function near its vertical asymptote.

• A) \(\lim _ { x - 4 ^ { - } } f ( x ) = - \infty , \quad \lim _ { x - 4 ^ { + } } f ( x ) = \infty\)
• B) \(\lim _ { x \rightarrow 4 ^ { - } } f ( x ) = x , \quad \lim _ { x \rightarrow 4 ^ { + } } f ( x ) = \infty\)
• C) \(\lim _ { x \rightarrow 4 ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow 4 ^ { + } } f ( x ) = \infty\)
• D) \(\lim _ { x \rightarrow 4 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 4 ^ { + } } f ( x ) = - \infty\)

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Definitions:

Plantwide Overhead Rate

A single overhead rate computed by dividing total factory overhead by a base, applied throughout an entire manufacturing plant.

Plantwide Factory Overhead Rate

A single overhead absorption rate used throughout a factory to allocate indirect costs to products based on a common base, such as labor hours or machine hours.

Overhead Costs

General business expenses not directly attributable to creating products or services.

Departments

Distinct areas within an organization, each focusing on a specific aspect of the business operation, such as finance, marketing, or human resources.