Identify the Open Intervals Where the Function $f ( x ) = x \sqrt { 30 - x ^ { 2 } }$

question 123

Multiple Choice

Identify the open intervals where the function $f ( x ) = x \sqrt { 30 - x ^ { 2 } }$
is increasing or decreasing.

• A) decreasing: \(( - \infty , \sqrt { 15 } )\); increasing: \(( \sqrt { 15 } , \infty )\)
• B) decreasing on \(( - \infty , \infty )\)
• C) increasing: \(( - \infty , \sqrt { 30 } )\); decreasing: \(( \sqrt { 30 } , \infty )\)
• D) increasing: \(( - \sqrt { 15 } , \sqrt { 15 } ) ;\) decreasing: \(( - \sqrt { 30 } , - \sqrt { 15 } ) \cup ( \sqrt { 15 } , \sqrt { 30 } )\)
• E) increasing: \(( - \sqrt { 30 } , \sqrt { 15 } ) \cup ( \sqrt { 15 } , \sqrt { 30 } ) ;\) decreasing: \(( - \sqrt { 15 } , \sqrt { 15 } )\)

Recognize the role and structure of orientation programs for new employees.

Appreciate the significance of supporting training within organizations.

Analyze the application and outcomes of team training approaches.

Understand and calculate the median of a data set.

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Definitions:

Specialization in Production

The process by which individuals, businesses, or countries focus on producing a limited scope of goods or services to gain greater efficiency and quality.

Coincidence of Wants

A situation in a barter economy where two parties each hold an item the other wants, facilitating a direct trade without the need for a medium of exchange.

Barter Economy

An economic system where goods and services are exchanged directly for other goods and services without using money as an intermediate.

Medium of Exchange

An instrument used to facilitate the sale, purchase, or trade of goods between parties, for example, money or digital currency.