Determine whether the relation is a function. Give the domain and range for the relation. \( \{(-4,-4),(-6,-6),(-1,-1),(8,8)\} \) Does the given relation represent a function? Yes No

Yes, the given relation represents a **function**. ### Explanation: A **function** is a relation in which each input (first element of the ordered pair) is associated with exactly one output (second element of the ordered pair). Let's examine the given relation: \[ \{\, (-4, -4),\ (-6, -6),\ (-1, -1),\ (8, 8) \,\} \] - **Inputs (Domain Candidates):** -4, -6, -1, 8 - **Outputs (Range Candidates):** -4, -6, -1, 8 Each input is **unique** and maps to one output only: - -4 maps to -4 - -6 maps to -6 - -1 maps to -1 - 8 maps to 8 Since there are no repeated inputs with different outputs, the relation satisfies the definition of a function. ### Domain and Range: - **Domain:** \(\{-6,\ -4,\ -1,\ 8\}\) *(The set of all input values.)* - **Range:** \(\{-6,\ -4,\ -1,\ 8\}\) *(The set of all output values.)* ### Conclusion: - **Does the given relation represent a function?** **Yes**