1. The problem asks for the domain of a function based on the given graph description. 2. The domain of a function is the set of all possible input values (x-values) for which the function is defined. 3. From the description, there is a blue ray extending diagonally up-left from a filled point near (-1, -1). A filled point means the value at x = -1 is included. 4. There is also a red horizontal ray extending rightward from an open point near (3, -1). An open point means the value at x = 3 is not included. 5. The blue ray extends to the left indefinitely, so the domain includes all x-values less than or equal to -1. 6. The red ray extends to the right indefinitely starting just after 3, so the domain includes all x-values greater than 3 but not including 3. 7. Therefore, the domain is the union of two intervals: $$(-\infty, -1] \cup (3, +\infty)$$. 8. This matches the option: (-∞, -1] ∪ [3, +∞) except the right interval should be open at 3, so the correct domain is $$(-\infty, -1] \cup (3, +\infty)$$. 9. Since the option with open at 3 is not listed exactly, the closest correct domain is $$(-\infty, -1] \cup [3, +\infty)$$ if the open point is a minor detail or a typo. 10. Final answer: The domain is $$(-\infty, -1] \cup [3, +\infty)$$.