\[ \text { Relation } 4 \] \[ \{(8, f),(-2, f),(1, f),(-6, f)\} \] Function Not a function

To determine whether the given relation is a **function**, we need to verify that each input (the first element of each ordered pair) is associated with exactly one output (the second element of each ordered pair). **Given Relation:** \[ \{(8, f), (-2, f), (1, f), (-6, f)\} \] **Analysis:** - **Inputs:** 8, -2, 1, -6 - **Outputs:** All inputs are associated with the same output, \( f \). **Criteria for a Function:** - **Uniqueness:** Each input must be associated with exactly one output. - **Multiple outputs for a single input violate the function definition.** In this relation: - Each input has exactly one corresponding output. - Even though multiple inputs share the same output (\( f \)), this does **not** violate the definition of a function. A function can have different inputs mapping to the same output. **Conclusion:** The given relation satisfies the criteria for a function. **Answer:** Function