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(Solved) : 1 Let F Z Z Defined F X X 1 Determine F Z Ran F Give Specific Examples B F Surjective F S Q38228698 . . .

1. Let f:Z → Z be defined by f(x) = x + 1

(a) Determine f[Z] ( = ran(f)). (Do not give specificexamples.)

(b) Is f surjective? If f is not surjective, provide acounterexample to show why it is not surjective.

2. Let g:Z → Z be defined by g(x) = 4x + 8

(a) Determine f[Z] ( = ran(g)). (Do not give specificexamples.)

(b) Is g surjective? If g is not surjective, provide acounterexample to show why it is not surjective.

3. Write down the injective (one-to-one) functions from P toQ.

(a) P = {a, b} and Q = {1, 2}

(b) P = {c, e} and Q = {2, 4, 6}

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