Subjects algebra

Domain Range Function 143F33

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1. **State the problem:** Determine the domain, range, and whether the set of ordered pairs is a function for the first set: $\{ (0, 8), (7, -4), (5, -7), (-2, 3), (7, 0) \}$. 2. **Recall definitions:** - The **domain** is the set of all first elements (x-values) in the ordered pairs. - The **range** is the set of all second elements (y-values). - A set of ordered pairs is a **function** if each x-value corresponds to exactly one y-value. 3. **Find the domain:** Extract x-values: $\{0, 7, 5, -2, 7\}$. 4. **Find the range:** Extract y-values: $\{8, -4, -7, 3, 0\}$. 5. **Check if function:** The x-value 7 appears twice with different y-values (-4 and 0), so it is **not** a function. **Final answers:** - Domain: $\{0, 7, 5, -2, 7\}$ - Range: $\{8, -4, -7, 3, 0\}$ - Function?: no