1. The problem involves understanding the given sets and their relationships on the Cartesian plane. 2. The domain (D) is given as $D = \{0,4\}$, meaning the input values are 0 and 4. 3. The range (R) is given as $R = \{-2,2\}$, meaning the output values are -2 and 2. 4. The function (F) is stated as NO, indicating that the relation is not a function. 5. To verify if a relation is a function, each input (domain value) must map to exactly one output (range value). 6. From the graph description, points are at $(-2,2)$, $(0,0)$, $(0,4)$, and $(2,0)$. 7. Notice that the domain includes 0 and 4, but the points with x=0 have two different y-values: 0 and 4. 8. This means the input 0 maps to two outputs, violating the definition of a function. 9. Therefore, the relation is not a function, consistent with the given F: NO. Final answer: The relation is not a function because the input 0 corresponds to two different outputs 0 and 4.