Determine Where the Function Is Increasing and Where It Is $$f ( x ) = - x ^ { 2 } + 2 x + 8$$

question 11

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$f ( x ) = - x ^ { 2 } + 2 x + 8$$

• A) increasing on \(( - \infty , 1 )\)
• decreasing on \(( 1 , \infty )\)
• B) increasing on \(( 9 , \infty )\)
• decreasing on \(( - \infty , 9 )\)
• C) increasing on \(( 1 , \infty )\)
• decreasing on \(( - \infty , 1 )\)
• D) increasing on \(( - \infty , 9 )\)
• decreasing on \(( 9 , \infty )\)

---

Definitions:

New Religious Movement

A term referring to religious, spiritual, or ethical groups that have emerged relatively recently and offer innovative responses to contemporary issues, often distinguished from traditional mainstream religions.

Sects

Usually form by breaking away from churches because of disagreement about church doctrine. Sects are less integrated into society and less bureaucratized than churches are.

Characteristics

Qualities, traits, or features that distinguish a person, object, or phenomenon from others, defining its nature and behavior.

Protestant Ethic

A concept proposed by sociologist Max Weber, suggesting that Protestant religious values, especially those of Calvinism, contributed to the development and growth of capitalism.