Subjects algebra

Function Or Not

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1. The first diagram maps each domain element to exactly one range element: 0→5, 1→6, 2→7, 5→8, 6 has no mapping shown. Since no domain element maps to more than one range element, this is a function. 2. The second diagram shows domain elements 2→0, 3→4, 4→6, 6 and 9 have no mappings. Each domain element maps to at most one range element, so this is a function. 3. The third diagram maps 2→2, 8→5, 9→7, and 8 (range) is listed but no domain maps to it twice. Each domain element has one mapping, so this is a function. 4. The fourth diagram maps 0→2, 1→3, 4→6, 9→8, and 9 (range) is listed but no domain maps to it twice. Each domain element has one mapping, so this is a function. 5. The fifth diagram maps 1→2, 2→3, 4→7, 5→9, and 9 (range) is listed but no domain maps to it twice. Each domain element has one mapping, so this is a function. 6. The sixth diagram maps 0→2, 6→5, 8→6, and 7, 8 (range) are listed but no domain maps to them twice. Each domain element has one mapping, so this is a function. 7. The seventh diagram maps 1→0, 2→4, 8→5, and 8, 9 (range) are listed but no domain maps to them twice. Each domain element has one mapping, so this is a function. 8. The eighth diagram maps 0→3, 2→6, 4→9, and 7 (domain) has no mapping shown. Each domain element maps to at most one range element, so this is a function. Final answers: 1) Function 2) Function 3) Function 4) Function 5) Function 6) Function 7) Function 8) Function