Solve the Problem $f ( x ) = \frac { 1 } { 3 } x ^ { 3 } + x ^ { 2 } - 3 x$

question 141

Multiple Choice

Solve the problem.
-Estimate graphically the local maximum and local minimum of $f ( x ) = \frac { 1 } { 3 } x ^ { 3 } + x ^ { 2 } - 3 x$ .

• A) Local maximum: 8.53; local minimum: \(- 2.01\)
• B) Local maximum: \(1.67\); local minimum: \(- 9\)
• C) Local maximum: 9; local minimum: \(- 1.67\)
• D) Local maximum: 9; local minimum: \(1.06\)

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Definitions:

Moral Equivalence

The idea that two differing actions, beliefs, or values are equally valid or acceptable, often used in ethical and political arguments.

Individual Survival

The ability of an individual organism to continue living and functioning in its environment, often in the face of various challenges.

Nonviolence

A principle of conflict resolution and political strategy that rejects the use of physical violence in order to achieve social or political change.

Prosocial Behavior

Helping behavior that benefits others.