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What can go in, and what can come out?

What can go in, and what can come out? · Diagrams

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One output per input, and the square mapping

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Source valid mapping 0→2,1→3,2→4,3→5 versus invalid relation with an additional 0→3 arrow. Square mapping 1→1,2→4,3→9,4→16 has domain{1,2,3,4}, range{1,4,9,16}. Function machine takes x to f(x).
Source valid mapping 0→2,1→3,2→4,3→5 versus invalid relation with an additional 0→3 arrow. Square mapping 1→1,2→4,3→9,4→16 has domain{1,2,3,4}, range{1,4,9,16}. Function machine takes x to f(x).
Source valid mapping 0→2,1→3,2→4,3→5 versus invalid relation with an additional 0→3 arrow. Square mapping 1→1,2→4,3→9,4→16 has domain{1,2,3,4}, range{1,4,9,16}. Function machine takes x to f(x).
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