1. **Problem Statement:** Determine if the relation $R_1 = \{(1, -2), (3, 7), (4, -6), (8, 1)\}$ from set $A = \{1,3,4,8\}$ to set $B = \{-2,7,-6,1,2\}$ is a function. 2. **Definition of a Function:** A relation from set $A$ to set $B$ is a function if every element in $A$ is related to exactly one element in $B$. 3. **Check the Relation:** - The domain $A$ has elements $1, 3, 4, 8$. - Each element in $A$ appears exactly once as the first component in the ordered pairs of $R_1$: - $1 \to -2$ - $3 \to 7$ - $4 \to -6$ - $8 \to 1$ 4. **Conclusion:** Since each element of $A$ maps to exactly one element in $B$, $R_1$ is a function. **Final answer:** $R_1$ is a function.