$\text { Identify the open intervals where the function } f ( x ) = 6 x ^ { 2 } - 6 x + 4 \text { is increasing or }$

question 40

Multiple Choice

$\text { Identify the open intervals where the function } f ( x ) = 6 x ^ { 2 } - 6 x + 4 \text { is increasing or }$ decreasing.

• A) decreasing on \(( - \infty , \infty )\)
• B) increasing on \(( - \infty , \infty )\)
• C) increasing: \(\left( - \infty , \frac { 1 } { 2 } \right)\); decreasing: \(\left( \frac { 1 } { 2 } , \infty \right)\)
• D) decreasing on \(( - \infty , 0 )\); increasing on \(( 0 , \infty )\)
• E) decreasing: \(\left( - \infty , \frac { 1 } { 2 } \right) ;\) increasing: \(\left( \frac { 1 } { 2 } , \infty \right)\)

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Definitions:

NMDA Receptor

A type of receptor involved in synaptic plasticity, memory formation, and is critical for excitatory neurotransmission in the brain.

Postsynaptic Membrane

The specialized area of a cell membrane on a neuron that receives and processes signals from another neuron at a synapse.

Glutamate

An amino acid that acts as a major excitatory neurotransmitter in the nervous system, playing a key role in brain development and synaptic plasticity.

Depolarized

A state in which the membrane potential of a neuron becomes less negative, making the neuron more likely to fire an action potential.