Define f(n) = n/2 + 1−(−1)n/4 for all n 2 Z. Thus, f: Z → Z, Z the set of all integers.Which is correct?

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Mr. Dubey • 52.30K Points
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Q. Define f(n) = n/2 + 1−(−1)n/4 for all n 2 Z. Thus, f: Z → Z, Z the set of all integers.Which is correct?

(A) f is a function and is onto but not one-to-one.

(B) f is a function and is onto and one-to- one.

(C) f is a function and is not onto but is one-to-one.

(D) f is a function and is not onto and not one-to-one

Correct : Option (A)

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