1. **Problem Statement:** Find the domain and range of the line segment starting at the open circle (-4, 2) and ending at the closed dot (1, 5). 2. **Domain:** The domain is the set of all x-values covered by the segment. - Since the segment starts at x = -4 (open circle, so -4 is not included) and ends at x = 1 (closed dot, so 1 is included), the domain in interval notation is $$(-4, 1]$$. - As an inequality, this is written as $$-4 < x \leq 1$$. 3. **Range:** The range is the set of all y-values covered by the segment. - The segment starts at y = 2 (open circle, so 2 is not included) and ends at y = 5 (closed dot, so 5 is included), so the range in interval notation is $$ (2, 5] $$. - As an inequality, this is $$ 2 < y \leq 5 $$. 4. **Summary:** - Domain: $$(-4, 1]$$ or $$-4 < x \leq 1$$ - Range: $$ (2, 5] $$ or $$ 2 < y \leq 5 $$