Consider the function f(n) = n + 3 for n >= 1. We wish to create a Turing Machine transducer to compute f(n) for all input n>=1. For example if n = 4 then the input will be #1111# on the TM tape and the output will be #1111111# on the TM tape. The underline indicates where the r/w head should be. Decide which of the following Turing Machines is a Turing Machine transducer for f? M1 1:1, R 1:1.L O;1,R q1 1:1.L O:1.R 0:1.L q3 O;0,R q4 q2 q5 Is M1 a Turing Machine transducer for f? ( Select) M2 1;0,R O;1,R 1;1,L 0:1,R q1 O;1,L 0;0,R q0 q2 Is M2 a Turing Machine transducer for f? [ Select] M3 1:1.R 1:1.L 0:1.R 0:1.R q2 O;1,L. q3 O;0,R q1 q4 Is M3 a Turing Machine transducer for f? ( Select)

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