A Function Is Given $U ( x ) = 4 \left( x ^ { 3 } - x \right)$

question 49

Essay

A function is given. (a) Find all the local maximum and minimum values of the function and the value of x at which each occurs
b) Find the intervals on which the function is increasing and on which the function is decreasing. State each answer correct to two decimal places. $U ( x ) = 4 \left( x ^ { 3 } - x \right)$

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Definitions:

Market Risk

The risk of losses in investments due to market variables, such as changes in interest rates, currency exchange rates, or stock market fluctuations.

Expected Rate Of Return

The profit or loss an investor anticipates on an investment, expressed as a percentage of the investment's initial cost.

Common Stock

A form of corporate equity ownership, representing a claim on a portion of the corporation's assets and earnings.

CAPM

The Capital Asset Pricing Model is a framework that explains the connection between the expected return on assets, especially stocks, and their systematic risk.