Question

Let $A=\left\{x,y,z\right\}$, $B=\left\{u,v,w\right\}$ and $f:A\to B$ be defined by $f\left(x\right)=u,f\left(y\right)=v,f\left(z\right)=w$. Then $f$ is

• A. surjective but not injective
• B. injective but not surjective
• C. bijective
• D. none of these

Answer 1

Answer: (C)

bijective

Since for every element of co-domain set $B$ there is one and only one pre-image in the domain set $A$, the function is injective as well as surjective. Hence the function is bijective.