Question

Given $A=x,y,z,B=u,v,w$, the function $f:A\to B$ defined by $f\left(x\right)=u,f\left(y\right)=v,f\left(z\right)=w$ is

• A. Surjective
• B. Bijective
• C. Injective
• D. All of the above

Answer 1

The correct option is D All of the above

use the definition of one-one and onto, the given function is one-one and onto, as every element in the codomain is mapped to some element in the domain. Also every element in the domain has only one image in the co domain.