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How Many Points of Inflection Are on the Graph of the Function

question 138

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How many points of inflection are on the graph of the function? f(x) =18x3+5x212x20f(x) =18 x^{3}+5 x^{2}-12 x-20

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Definitions:

Sleep Spindles

Bursts of brain activity observable on an EEG that occur during stage 2 of sleep, believed to play a role in learning and memory.

Non-REM Sleep

A period of sleep that includes stages 1 through 3, characterized by a decrease in physiological activity and slower brain waves compared to REM sleep.

Brain Waves

Patterns of electrical activity in the brain, measurable by electroencephalography (EEG), that reflect different states of consciousness.

Psychoanalytic Theory

A framework for understanding the mind and mental disorders based on the interplay of unconscious and conscious forces.

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