Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = x ^ { 3 } + 2.5 x ^ { 2 } + 2 x - 3$$

question 241

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = x ^ { 3 } + 2.5 x ^ { 2 } + 2 x - 3$$

• A) local maximum at \(x = - 1\); local minimum at \(x = - \frac { 2 } { 3 }\)
• B) local maximum at \(x = - \frac { 1 } { 3 }\); local minimum at \(x = - 2\)
• C) local maximum at \(x = 2\); local minimum at \(x = \frac { 1 } { 3 }\)
• D) local maximum at \(x = \frac { 2 } { 3 }\); local minimum at \(x = 1\)

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Definitions:

Accommodate

In cognitive psychology, to modify existing cognitive schemas, perceptions, or understandings to incorporate new information.

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The final stage in Piaget's theory of cognitive development, characterized by the ability to think abstractly, logically, and systematically.

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The process of exploring and considering possibilities or scenarios that are not real but are imagined for the purpose of discussion or problem-solving.

Scaffolding

An educational approach involving structured support to help learners progress beyond their current level of ability.