Identify the Function's Local and Absolute Extreme Values, If Any $$h ( x ) = \frac { x - 2 } { x ^ { 2 } + 3 x + 6 }$$

question 139

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$h ( x ) = \frac { x - 2 } { x ^ { 2 } + 3 x + 6 }$$

• A) local minimum at x = -5; local maximum at x = 6
• B) local minimum at x = -2; local maximum at x = 6
• C) local minimum at x = -2; no local maxima
• D) no local extrema

---

Definitions:

Risk Taking

The action of engaging in behaviors or decisions that involve a possibility of negative consequences in the hope of achieving a desired outcome.

Group Polarization

The phenomenon whereby a group's prevailing attitudes or beliefs become stronger or more extreme following group discussions.

Extreme Position

A viewpoint or stance that is far removed from the mainstream or moderate perspectives, often rigid and uncompromising.

Informal Basis

Not formally established or systematic, often based on custom, tradition, or personal judgement.