Let $f ( x ) = x \left| x ^ { 3 } \right|$

question 126

Short Answer

Let $f ( x ) = x \left| x ^ { 3 } \right|$ .
a. Sketch the graph of $f$ .
b. For what values of $x$ is $f$ differentiable?
c. Find a formula for $f ^ { \prime } ( x )$ .

---

Definitions:

Self-pay

A method of payment for healthcare services where the patient pays out-of-pocket, not relying on insurance.

Discharge Planning

The process of preparing a patient for return to home or transfer to another facility after hospitalization, ensuring continuity of care.

Utilization Review

Refers to an evaluation of health care services to determine the medical necessity, appropriateness, and cost-effectiveness of the treatment plans for a given patient.

Medical Coder

Uses an alphanumeric coding system for all diagnoses and all procedures in a manner that results in the maximum reimbursement for the provider and in fewer fees billed to the patient.