Provide an Appropriate Response

question 166

Essay

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

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Definitions:

Object Relations

A theory in psychoanalysis that focuses on the importance of early family relationships and the roles of internalized images of these relationships in personality development.

Caregivers

Individuals who provide care for another person in need, such as children, elderly, or someone with disabilities, often involving physical, emotional, or financial support.

Abnormal Development

Deviations from typical growth patterns, which can affect physical, emotional, or intellectual development.

Minorities

Groups of people who are different from the larger population in a country or area due to racial, ethnic, religious, or sexual identity, often experiencing disadvantage or discrimination.