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Define f: Z ->Z by the rule f(x) = 6x + 1, for all integers x. a. Is f onto? b. Is f one-to-one? c.

Define f: Z ->Z by the rule f(x) = 6x + 1, for all integers x.

a. Is f onto?

b. Is f one-to-one?

c. Is it a one-to-one correspondence?

d. Find the range of f.

Explain each of your answers.

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