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