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

question 110

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:

Synapses

The junctions between neurons that allow them to communicate with each other through electrical or chemical signals.

Santiago Ramón y Cajal

A Spanish neuroscientist known for his pioneering work in neuroanatomy, specifically his detailed drawings of neurons.

Growth Cones

Dynamic, actin-supported extensions of a developing or regenerating neurite seeking its synaptic target.