1. **State the problem:** We are given a relation $H$ represented by four points: $(-3,3)$, $(4,4)$, $(4,0)$, and $(0,-3)$. We need to find the domain and range of $H$ using set notation. 2. **Recall definitions:** - The **domain** of a relation is the set of all possible $x$-values. - The **range** of a relation is the set of all possible $y$-values. 3. **Find the domain:** - Look at the $x$-coordinates of the points: $-3$, $4$, $4$, and $0$. - The unique $x$-values are $-3$, $0$, and $4$. - So, the domain is $\{ -3, 0, 4 \}$. 4. **Find the range:** - Look at the $y$-coordinates of the points: $3$, $4$, $0$, and $-3$. - The unique $y$-values are $-3$, $0$, $3$, and $4$. - So, the range is $\{ -3, 0, 3, 4 \}$. **Final answer:** Domain $= \{ -3, 0, 4 \}$ Range $= \{ -3, 0, 3, 4 \}$