Identify the Function's Local and Absolute Extreme Values, If Any $$g ( x ) = \frac { x ^ { 4 } } { 4 } - \frac { 7 } { 3 } x ^ { 3 } + 7 x ^ { 2 } - 8 x - 4$$

question 65

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$g ( x ) = \frac { x ^ { 4 } } { 4 } - \frac { 7 } { 3 } x ^ { 3 } + 7 x ^ { 2 } - 8 x - 4$$

• A) local maxima at x = 1 and x = 4; local minimum at x = 2
• B) local maxima at x = -1 and x = -4; local minimum at x = 2
• C) local maximum at x = 1; local minimum at x = 4
• D) local maximum at x = 2; local minima at x = 1 and x = 4

---

Definitions:

Stress

A psychological and physical response to perceived challenges or threats, involving emotional, cognitive, and biological reactions.

Causal Factor

An element or condition that directly influences the occurrence of an event or the state of a system.

Grilled-cheese Sandwiches

A popular comfort food consisting of melted cheese between slices of toasted bread, typically grilled or fried until golden brown.

Lightning Strikes

Natural, electrical discharges of very short duration and high voltage between a cloud and the ground, or within a cloud.