Subjects algebra

Relation Function C9C8Ce

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1. **State the problem:** Determine if the graphed relation defines a function and find its domain and range. 2. **Recall the definition of a function:** A relation is a function if every input (x-value) corresponds to exactly one output (y-value). 3. **Analyze the graph:** The graph shows two curved arrows starting at $x=2$, one going upward and one downward, meaning $x=2$ maps to multiple $y$ values. 4. **Conclusion on function:** Since $x=2$ has more than one $y$ value, the relation is **not** a function. 5. **Determine the domain:** The graph covers all $x$ values from $-10$ to $10$ without breaks, so the domain is $$[-10,10]$$. 6. **Determine the range:** The arrows extend upward and downward from $y=-10$ to $y=10$, so the range is $$[-10,10]$$. **Final answers:** - The relation is **not** a function. - Domain: $$[-10,10]$$ - Range: $$[-10,10]$$