Question

If $f:Z\to Z$ is defined by $f\left(x\right)=\{\begin{array}{c}\frac{x}{2}\text{if x even}\\ 0\text{if x odd}\end{array}$ then f is

• A. onto but not one to one
• B. one to one but not onto
• C. one to one and onto
• D. neither one to one nor onto

Answer 1

The correct option is A

onto but not one to one

f is not one – one as f(1) = f(3)

f is onto as Range = codomain