1. The problem asks to fill in the table showing the values of the edge-endpoint function for the given graph. 2. The vertex set is $\{v_1,v_2,v_3,v_4\}$ and the edge set is $\{e_1,e_2,e_3,e_4,e_5\}$. 3. The edge-endpoint function assigns to each edge the set of vertices it connects. 4. From the problem statement: - $e_1$ connects $v_1$ and $v_2$, so endpoints are $\{v_1,v_2\}$. - $e_2$ connects $v_2$ and $v_3$, so endpoints are $\{v_2,v_3\}$. - $e_3$ also connects $v_2$ and $v_3$, so endpoints are $\{v_2,v_3\}$. - $e_4$ connects $v_2$ and $v_4$, so endpoints are $\{v_2,v_4\}$. - $e_5$ is a loop at $v_4$, so its endpoints are $\{v_4\}$. 5. Your answers match exactly the problem's description, so they are correct. 6. If you are getting it wrong, check if the system expects the endpoints as sets (curly braces) or lists (parentheses or brackets), or if the order matters. 7. Also verify if the loop edge $e_5$ is accepted as $\{v_4\}$ or needs to be written differently. 8. In summary, your answers are correct based on the given graph and edge-endpoint function definition.