Let f be a one-one function with domain $\left\{x,y,z\right\}$ and range $\{1,2,3\}.$ It is given that exactly one of the following statements is true and remaining two are false, $f\left(x\right)=1,f\left(y\right)\ne 1,f\left(z\right)\ne 2,$ then $f\left(y\right)$ is