Determine Where the Function Is Increasing and Where It Is $$f ( x ) = - 4 x ^ { 2 } - 2 x - 11$$

question 40

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$f ( x ) = - 4 x ^ { 2 } - 2 x - 11$$

• A) increasing on \(\left( - \infty , - \frac { 1 } { 4 } \right)\)
• decreasing on \(\left( - \frac { 1 } { 4 } , \infty \right)\)
• B) increasing on \(\left( - \infty , \frac { 1 } { 4 } \right)\)
• decreasing on \(\left( \frac { 1 } { 4 } , \infty \right)\)
• C) decreasing on \(\left( - \infty , - \frac { 1 } { 4 } \right)\)
• increasing on \(\left( - \frac { 1 } { 4 } , \infty \right)\)
• D) increasing on \(\left( - \infty , - \frac { 43 } { 4 } \right)\)
• decreasing on \(\left( - \frac { 43 } { 4 } , \infty \right)\)

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Definitions:

Entorhinal Cortex

A part of the cerebral cortex located in the medial temporal lobe, functioning as a hub in a widespread network for memory, navigation, and the perception of time.

Visual Object Memory

The cognitive ability to remember visual objects and their details over time.

Parahippocampal Region

A region in the brain associated with memory encoding and retrieval located adjacent to the hippocampus.

Perirhinal Region

A part of the brain involved in memory and recognition, located in the medial temporal lobe adjacent to the entorhinal cortex.