Find the Oblique Asymptote, If Any, of the Rational Function $$f ( x ) = \frac { x ^ { 3 } - 5 x ^ { 2 } + 4 x - 1 } { x ^ { 2 } + 4 x }$$

question 65

Multiple Choice

Find the oblique asymptote, if any, of the rational function.
- $$f ( x ) = \frac { x ^ { 3 } - 5 x ^ { 2 } + 4 x - 1 } { x ^ { 2 } + 4 x }$$

• A) \(y = x - 9\)
• B) \(y = x + 9\)
• C) None
• D) \(y = x\)

---

Definitions:

Stirrup

A tiny bone in the middle ear that plays a critical role in the process of hearing by transmitting sound vibrations to the inner ear.

Middle Ear

The part of the ear located between the eardrum and the inner ear, containing three small bones that transmit sound vibrations.

Cones

Specialized photoreceptor cells in the retina of the eye responsible for color vision and functioning best in relatively bright light.

Vision

The capability of the eyes and brain to interpret electromagnetic energy (light) into images, enabling sight.