Find the Extreme Values of the Function and Where They $$y = \frac { x + 1 } { x ^ { 2 } + 2 x + 2 }$$

question 88

Multiple Choice

Find the extreme values of the function and where they occur.
- $$y = \frac { x + 1 } { x ^ { 2 } + 2 x + 2 }$$

• A) The maximum is \(- \frac { 1 } { 2 }\) at \(x = 0\); the minimum is \(\frac { 1 } { 2 }\) at \(x = - 2\).
• B) None
• C) The maximum is 2 at \(x = 0\); the minimum is \(\frac { 1 } { 2 }\) at \(x = - 2\).
• D) The maximum is \(\frac { 1 } { 2 }\) at \(x = 0\); the minimum is \(- \frac { 1 } { 2 }\) at \(x = - 2\).

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Definitions:

Sensory Memory

The briefest segment of memory that enables people to preserve sensory impressions once the initial stimuli are no longer present.

Short-term Memory

The capacity for holding a small amount of information in mind in an active, readily available state for a short period of time.

Consolidated Memory

A process by which short-term memories are transformed into long-term memories, making them stable and less susceptible to disruption.

Episodic Memory

The type of declarative memory that records events as they have been subjectively experienced.