Let F(x)=

question 121

Essay

Let f(x)=
.
(a)Determine the intervals on which f is increasing.
(b)Determine the intervals on which f is decreasing.
(c)Based on your answers to parts (a)and (b),find the values of x for which f has relative maxima.
(d)Based on your answers to parts (a)and (b),find the values of x for which f has relative minima.

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Definitions:

Procedural Memories

Procedural memories are a type of long-term memory involved in the learning of motor skills and behaviors, allowing individuals to perform tasks without conscious awareness of the learned abilities.

Reticular Formation

A network of neurons in the brainstem involved in arousal and alertness.

Procedural Memories

Memories of how to perform tasks or actions, such as riding a bike or tying shoelaces, often recalled unconsciously.

Cerebellum

A region of the brain that plays an important role in motor control, and can also be involved in some cognitive functions like attention and language.