Subjects algebra

Domain Range Order 675231

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1. The problem is to organize the given domain and range statements and inequalities into a coherent order, matching domains with their corresponding ranges and conditions. 2. We start by identifying pairs of domain and range statements that logically correspond, based on the variables and inequalities given. 3. For example, a domain like $-4 \leq x \leq 1$ pairs with a range set or inequality that fits the function's behavior over that domain. 4. We also note conditions like $x > -3$ or $x \geq 0$ that restrict the domain further. 5. The goal is to list each domain with its matching range and any additional conditions, in a clear, ordered manner. 6. After matching, the ordered pairs are: - Domain: $-5 \leq x \leq 2$, Range: $-1 < y \leq 2$ - Domain: $-4 \leq x \leq 3$, Range: $-3 \leq y \leq 5$ - Domain: $-1 \leq x \leq 4$, Range: $y \leq 4$ - Domain: $x \geq 0$, Range: $-4 \leq y \leq 1$ - Domain: $0 \leq x < 3$, Range: $0 < y \leq 3$ - Domain: $x \geq 1$, Range: $-2 \leq y \leq 5$ - Domain: $-4 \leq x \leq 3$, Range: $-2 \leq y \leq 3$ - Domain: $x \leq 1$, Range: $-4 \leq y \leq 2$ - Domain: $-2 \leq y \leq 3$, Range: $\{-3, 0, 3\}$ - Domain: $\{-4, -2, 1, 4\}$, Range: $-2 \leq y \leq 3$ - Domain: $\{-1, 2, 5\}$, Range: $x \geq 0$ - Domain: $\{-4, 0, 1, 3\}$, Range: $y \leq 4$ - Domain: $-4 \leq y \leq 5$, Range: $y \leq 1$ - Domain: All Real Numbers, Range: $3, 4, 3$ - Domain: $-4 \leq x \leq 1$, Range: $\{1, 0, 2, 3\}$ 7. This ordering aligns domains and ranges logically and respects the inequalities and sets given. Final ordered list: - $-5 \leq x \leq 2$, $-1 < y \leq 2$ - $-4 \leq x \leq 3$, $-3 \leq y \leq 5$ - $-1 \leq x \leq 4$, $y \leq 4$ - $x \geq 0$, $-4 \leq y \leq 1$ - $0 \leq x < 3$, $0 < y \leq 3$ - $x \geq 1$, $-2 \leq y \leq 5$ - $-4 \leq x \leq 3$, $-2 \leq y \leq 3$ - $x \leq 1$, $-4 \leq y \leq 2$ - $-2 \leq y \leq 3$, $\{-3, 0, 3\}$ - $\{-4, -2, 1, 4\}$, $-2 \leq y \leq 3$ - $\{-1, 2, 5\}$, $x \geq 0$ - $\{-4, 0, 1, 3\}$, $y \leq 4$ - $-4 \leq y \leq 5$, $y \leq 1$ - All Real Numbers, $3, 4, 3$ - $-4 \leq x \leq 1$, $\{1, 0, 2, 3\}$