Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = - x ^ { 3 } - 1.5 x ^ { 2 } + 18 x - 2$$

question 16

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = - x ^ { 3 } - 1.5 x ^ { 2 } + 18 x - 2$$

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

---

Definitions:

Face-To-Face

Direct interaction between two or more people in the same physical space, as opposed to virtual or remote interaction.

Review Of Systems

A systematic approach in medical history taking to identify symptoms the patient may be experiencing across different body systems.

Baseline Measurements

Initial data collection at the start of a study or experiment against which future measurements will be compared to assess change or impact.

Follow-Up Visits

Subsequent appointments or consultations after the initial one to review, assess, or continue treatment of a medical condition.