Find the Critical Numbers Of $f ( x ) = x ^ { 4 } ( x - 3 ) ^ { 3 }$

question 33

Multiple Choice

Find the critical numbers of $f ( x ) = x ^ { 4 } ( x - 3 ) ^ { 3 }$ .

• A) \(0,3 , \frac { 12 } { 7 }\)
• B) \(0,4 , \frac { 7 } { 12 }\)
• C) \(0,4 , \frac { 12 } { 7 }\)
• D) \(0,3 , \frac { 12 } { 11 }\)
• E) \(0,3 , \frac { 7 } { 12 }\)

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Definitions:

Critical Evaluations

The process of rigorously and systematically examining an object, situation, or outcome to judge its merit, significance, or value based on criteria.

Influence

The capacity or power of individuals or groups to affect the behaviors, beliefs, or decisions of others.

Control

The power to influence or direct people's behavior or the course of events.

Legitimate Power

A form of authority derived from a position or role that gives the holder the right to make decisions, command, and influence others.