Mark the correct A. onto but not one-one

B. one-one but not onto

C. one-one and onto

D. neither one-one nor onto

Given function f: Z → Z defined as

For x = 3, f(x) = 0

For x = 5, f(x) = 0

But 3 ≠ 5

So, f is not one-one.

Y=f(x)

∵ x ϵ R ⇒ y ϵ R

∴ Domain = Range

Hence, f is not one-one but onto.