Find the Average Rate of Change of the Function from X₁

question 382

Multiple Choice

Find the average rate of change of the function from x₁ = 1 to x₂ = 3. $f ( x ) = x ^ { 3 } - 8 x ^ { 2 } - x$

• A)The average rate of change from x₁ = 1 to x₂ = 3 is 19.
• B)The average rate of change from x₁ = 1 to x₂ = 3 is -20.
• C)The average rate of change from x₁ = 1 to x₂ = 3 is 8.
• D)The average rate of change from x₁ = 1 to x₂ = 3 is -14.
• E)The average rate of change from x₁ = 1 to x₂ = 3 is 14.

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Definitions:

Arbitrage Pricing Theory (APT)

An equilibrium asset pricing theory that is derived from a factor model by using diversification and arbitrage. It shows that the expected return on any risky asset is a linear combination of various factors.

Arbitrage Pricing Theory (APT)

A financial model that estimates the price of assets based on the relationship between their expected return and macroeconomic factors that influence all assets' returns.

Market Risk Premium

The surplus return an investor aspires to earn by holding onto a market portfolio fraught with risks as compared to safeguarded, risk-free assets.

Beta

An indicator of the variability of a stock's performance compared to the general market, where a beta greater than 1 suggests a volatility superior to that of the market.