Which of the Following Is (Are) True Of $f ( x ) = 5 + 3 x ^ { 2 } - x ^ { 3 } ?$

question 14

Multiple Choice

Which of the following is (are) true of $f ( x ) = 5 + 3 x ^ { 2 } - x ^ { 3 } ?$
(I) (1, 7) is a point of inflection
(II) f(2) is a relative maximum point
(III) f has a relative minimum point at x = 0
(IV) f is increasing on (2, ?)

• A) II, III, and IV
• B) I, II, and III
• C) II and III
• D) all of these
• E) none of these

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Definitions:

Stock Ownership Plans

Employee benefit plans that provide workers with an ownership interest in the company through stock ownership, often aimed at improving employee motivation and loyalty.

Human Resource Management

The strategic approach to the effective management of people in a company or organization to help their business gain a competitive advantage, including hiring, training, and employee benefit design.

Replacement

The process of substituting one element for another, in human resources, it typically refers to filling a vacancy created by an outgoing employee.

Equilibrium Price

The price at which the quantity of goods supplied is equal to the quantity of goods demanded; market balance.