Provide an Appropriate Response

question 361

Essay

Provide an appropriate response.
- $$\text { Does the graph of } f ( x ) = \left\{ \begin{array} { l l } x \cos \frac { 1 } { x } , & x \neq 0 \\0 , & x = 0\end{array} \right. \text { have a tangent at the origin? Give reasons for your answer. }$$

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Definitions:

Security Market Line

A line in the Capital Asset Pricing Model (CAPM) that represents the relationship between the expected return of a security and its systemic risk.

Systematic Risk

The risk inherent to the entire market or an entire market segment, influenced by factors such as economic, geopolitical, and financial events, which cannot be eliminated through diversification.

Expected Return

The anticipated return on an investment, factoring in the probability of various outcomes.

Security Market Line

A line that represents the relationship between the risk of investing in a security and its expected return, as per the Capital Asset Pricing Model.