Find the Open Intervals on Which the Function Is Increasing

question 32

Multiple Choice

Find the open intervals on which the function is increasing and decreasing. Identify the function's local and absolute extreme values, if any, saying where they occur.
-

• A) increasing on (2, 4); decreasing on (0, 2); absolute maximum at (4, 5); local maximum at (0, 2); absolute minimum at (-2, 0) and (2, 0)
• B) increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 5) and(0,2); absolute minimum at (-2, 0) and (2, 0)
• C) increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 5); local maximum at (0, 2); absolute minimum at (-2, 0) and (2, 0)
• D) increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 5); absolute minimum at (-2, 0) and (2, 0)

---

Definitions:

Hormone Deficiency

A medical condition resulting from a lack of one or more hormones in the body, which can impact various bodily functions and development.

Rite

A ceremonial or solemn ritual, often associated with religious practices, symbolizing an important event or transition.

Nonentity

Something that does not exist or is considered unimportant or nonexistent in a particular context.

Milestone

A significant event or point in development, progress, or history that marks a specific achievement or phase.