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

question 96

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

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Definitions:

Cluttered Nest

A situation where adult children live at their parents' home, leading to a full or overfilled household, often due to economic factors or personal choice.

Empty Nest

A stage in a parent's life where their children have grown up and left home, leading to a household without dependent children.

Cluttered/Crowded Nest

A family home that remains filled with possessions, often leading to a sense of congestion and lack of space.

Multigenerational

Multigenerational describes families or other social settings that include members from several generations, often highlighting the dynamics and cultural aspects of interactions between young, middle-aged, and older individuals.