Find the Largest Open Interval Where the Function Is Changing $f ( x ) = x ^ { 3 } - 4 x$

question 68

Multiple Choice

Find the largest open interval where the function is changing as requested.
-Decreasing $f ( x ) = x ^ { 3 } - 4 x$

• A) \(\left( \frac { 2 \sqrt { 3 } } { 3 } , \infty \right)\)
• B) \(( - \infty , \infty )\)
• C) \(\left( - \infty , - \frac { 2 \sqrt { 3 } } { 3 } \right)\)
• D) \(\left( - \frac { 2 \sqrt { 3 } } { 3 } , \frac { 2 \sqrt { 3 } } { 3 } \right)\)

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Definitions:

Distributive Justice

The perceived fairness in the allocation of resources and burdens among members of a society.

Exit Incentives

Benefits offered to employees to encourage voluntary resignation or retirement, often used in downsizing or restructuring initiatives.

Lending Workers

The practice of temporarily assigning employees to work for another organization or within a different part of the same organization.

Extending Reductions

The process of increasing the scope or duration of cost-cutting or resource-saving measures.