Subjects algebra

Function Pairs 3Ec2A0

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1. **Problem:** Determine which pair of points shows a graph that is not a function. 2. **Recall the definition of a function:** A graph represents a function if every input (x-value) corresponds to exactly one output (y-value). If any x-value repeats with different y-values, it is not a function. 3. **Analyze each pair:** - a) Points (-5, -1) and (2, -1): x-values are -5 and 2, both different, so this can be a function. - b) Points (0, 1) and (1, 0): x-values are 0 and 1, both different, so this can be a function. - c) Points (2, -1) and (2, 7): x-values are both 2, but y-values are different (-1 and 7). This violates the function rule. - d) Points (-2, -1) and (-2, 7): x-values are both -2, but y-values differ (-1 and 7). This also violates the function rule. 4. **Conclusion:** Pairs c) and d) do not represent functions because the same x-value maps to different y-values. **Final answer:** The pairs that show the graph is not a function are c) and d).