Let A = {a,b,c,d}, B = {1,2,3}, and R = {(a,2), (b, 1), (c, 2), (d, 1)}. (a)Is R a function? (b)Is R−1 a function? Explain your answers.
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(a) A function from to is an assignment of exactly one element of to each element of
Yes, is a function: for each input there is exactly one output.
(b) is not a function. For example, but