Find the Exact Location of All the Relative and Absolute $f ( x ) = \sqrt { x } ( x - 21 ) , x \geq 0$

question 67

Multiple Choice

Find the exact location of all the relative and absolute extrema of the function. $f ( x ) = \sqrt { x } ( x - 21 ) , x \geq 0$
Select all correct answers.

• A) \(( 0,0 )\) - absolute maximum
• B) \(( 0,0 )\) - relative maximum
• C) \(( 7 , - 14 \sqrt { 7 } )\) - absolute minimum
• D) \(( 7 , \sqrt { 7 } )\) - relative minimum
• E) \(( 7 , - 14 \sqrt { 7 } )\) - relative minimum

---

Definitions:

Low Income

Describes a level of earnings that is below the average or median, often associated with economic challenges and limitations in access to resources.

SWOT Analysis

A strategic planning tool used to identify Strengths, Weaknesses, Opportunities, and Threats related to business competition or project planning.

Threats

Potential dangers or harm that can negatively impact individuals, organizations, or systems.

Advanced Technology

Cutting-edge or highly developed tools, systems, or devices that improve efficiency, productivity, or capability in a given field.