Use Limits to Describe the Behavior of the Rational Function $$f ( x ) = \frac { 1 - 5 x } { x + 2 }$$

question 47

Multiple Choice

Use limits to describe the behavior of the rational function near the indicated asymptote.
- $$f ( x ) = \frac { 1 - 5 x } { x + 2 }$$
Describe the behavior of the function near its horizontal asymptote (the end behavior) .

• A) \(\lim _ { x \rightarrow \infty } f ( x ) = 0 , \quad \lim _ { x \rightarrow \infty } f ( x ) = 0\)
• B) \(\lim _ { x \rightarrow \infty } f ( x ) = - 5 , \lim _ { x \rightarrow \infty } f ( x ) = - 5\)
• D) \(\lim _ { x \rightarrow \infty } f ( x ) = 5 , \lim _ { x \rightarrow \infty } f ( x ) = - 5\)

---

Definitions:

Flat

Lacking in vivacity or interest; without marked variation in emotional or dynamic level.

Blunted

Lacking in force, intensity, or sharpness; often used to describe diminished emotional responses or reactions.

Exaggerated

Describes something that is represented as greater than is true or reasonable; overstated or embellished.

Establish Trust

Establishing trust involves creating a reliable, dependable, and safe environment or relationship where confidence in one another can be built.