Find the Minimum Value of the Function $f ( x ) = x \ln x$

question 6

Multiple Choice

Find the minimum value of the function $f ( x ) = x \ln x$ .

• A) \(- e\)
• B) \(- 1\)
• C) \(- \frac { 1 } { e }\)
• D)0
• E) \(e\)
• F) \(e ^ { \frac { 1 } { e } }\)
• G) \(e ^ { e }\)
• H) \(e ^ { - e}\)

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Definitions:

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A legal right allowing innkeepers to hold, or even sell, a guest's property as security for unpaid lodging bills.

Statutory Lien

A right to keep possession of property belonging to another until a debt owed by that person is discharged, created by statute.

Possessory Lien

A legal right allowing an individual to retain possession of property until a debt owed by the property owner is paid.

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