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) \(\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = 0 , \quad \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = 0\)

---

Definitions:

Embryonic Development

The series of changes an embryo undergoes in the process of growth and differentiation to become a functional organism.

First Stage

The initial phase or level in a process or series of actions, often setting the foundation for subsequent stages.

Organogenesis

The process during embryonic development in which organs are formed from the germ layers.

Embryonic Development

The process by which an embryo forms and develops, from the single-cell zygote stage to the establishment of body plan and organogenesis.