Statement–I: The range of function $f\left(x\right)=\mathrm{sgn}(x^2-2x+3)$ is $\left\{1\right\}$
Statement–II: The range of function $f\left(x\right)=\left[\sin \left\{x\right\}\right]$ is $\left\{0\right\}$ where $\{.\}$ represents the fractional part of function and $[.]$ represents the greatest integer function