A Function Is Given $G ( x ) = \frac { 2 } { x ^ { 2 } + x + 1 }$

question 128

Essay

A function is given.
(a) Find all the local maximum and minimum values of the function and the value of x at which each occurs
b) Find the intervals on which the function is increasing and on which the function is decreasing. State all answers correct to two decimal places. $G ( x ) = \frac { 2 } { x ^ { 2 } + x + 1 }$

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Definitions:

Reinforcement Contingencies

Conditions in which the delivery of rewards or punishments are contingent upon a specific behavior, used to increase or decrease the likelihood of that behavior's occurrence.

Shaping

A method of teaching new behaviors by successively reinforcing behaviors that approximate the target behavior.

Higher-Order Conditioning

A type of learning where a new stimulus becomes associated with an already conditioned stimulus, resulting in the same conditioned response.

Spontaneous Recovery

Following a period without exposure to the conditioned stimulus, a conditioned response that had previously disappeared resurfaces.