Find the Power Function That the Graph of F Resembles $| \mathbf { x } |$

question 141

Multiple Choice

Find the power function that the graph of f resembles for large values of $| \mathbf { x } |$
- $$f ( x ) = ( x + 12 ) ^ { 6 } ( x - 3 ) ^ { 3 }$$

• A) \(y = x ^ { 6 }\)
• B) \(y = x ^ { 3 }\)
• C) \(y = x ^ { 18 }\)
• D) \(y = x ^ { 9 }\)

---

Definitions:

Hepatojugular Reflux

An increase in jugular vein pressure observable when pressure is applied to the liver, indicative of congestive heart failure or other cardiac issues.

Cardiomyopathy

A group of diseases that affect the heart muscle itself, potentially leading to heart failure and other complications.

Heart Failure

A chronic condition where the heart is unable to pump blood effectively, leading to a buildup of fluids and reduced oxygen delivery to tissues.

Mitral Valve

a valve in the heart that lies between the left atrium and left ventricle, regulating blood flow from the atrium to the ventricle.