Decide Which of the Two Given Functions Is Linear and Find

question 104

Essay

Decide which of the two given functions is linear and find its equation. $$\begin{array} { | l | l | l | l | l | l | } \hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \\\hline f ( x ) & 5 & 2 & - 1 & - 4 & - 7 \\\hline \boldsymbol { g } ( \boldsymbol { x } ) & 5 & 3.5 & 2 & 0.5 & 0 \\\hline\end{array}$$ ​
Please enter your answer as an equation of a linear function.

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Definitions:

Negatively Correlated

A relationship between two variables in which one variable increases as the other decreases.

Portfolio Risk

The degree of uncertainty of returns on a portfolio due to the possibility of changes in the values of the holdings.

Market Risk Premium

The difference between the expected return on a market portfolio and the risk-free rate.

Portfolio Beta

A measure of a portfolio's sensitivity to market movements, indicating its volatility relative to the market.