Find the Absolute Extreme Values of the Function on the Interval

question 225

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$g ( x ) = 9 - 8 x ^ { 2 } , - 2 \leq x \leq 3$$

• A) absolute maximum is 9 at \(x = 0\); absolute minimum is \(- 63\) at \(x = 3\)
• B) absolute maximum is 8 at \(x = 0\); absolute minimum is \(- 81\) at \(x = 3\)
• C) absolute maximum is 72 at \(x = 0\); absolute minimum is \(- 23\) at \(x = - 2\)
• D) absolute maximum is 18 at \(x = 0\); absolute minimum is \(- 23\) at \(x = 3\)

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Definitions:

Middle Adulthood

A life stage typically occurring between the ages of 40 and 65, characterized by stable career paths, established relationships, and often a focus on life assessment and legacy.

Identity Assimilation

The process of integrating new aspects of the self into an existing identity framework.

Piaget

Refers to Jean Piaget, a Swiss psychologist known for his pioneering work in child development and his theory of cognitive development stages.

Identity Balance

Whitbourne’s term for a tendency to balance assimilation and accommodation.