Approximate the Critical Numbers of the Function Shown in the Graph

question 28

Multiple Choice

Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown.

• A)The critical number \(x = - 1\) yields an absolute maximum and the critical number \(x = 1\) yields an absolute minimum..
• B)Both the critical numbers \(x = - 1\) & \(x = 1\) yield an absolute maximum.
• C)The critical number \(x = - 1\) yields an absolute minimum and the critical number \(x = 1\) yields an absolute maximum.
• D)Both the critical numbers \(x = - 1\) and \(x = 1\) yield an absolute minimum.
• E)The critical number \(x = - 1\) yields a relative minimum and the critical number \(x = 1\) yields a relative maximum.

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Definitions:

Identity

The way in which individuals see and define themselves, shaped by personal, social, and cultural factors.

Social Definitions

The process by which society identifies and categorizes aspects of the world, including behaviors, roles, and expectations.

Socially Constructed

The concept that ideas, meanings, or values are created through interactions within a society rather than inherently existing.

Significant Others

Those with whom we have a close affiliation.