Let all the 2022 zeroes of the polynomial $P\left(x\right)={\text{a}}_{2022}{x}^{2022}+a_{2021}{x}^{2021}+\mathrm{...}+a_{1}x+a_0$, where ${\text{a}}_{2022},a_{2021},\mathrm{...},a_0\in Rand{\text{\hspace{0.17em}\hspace{0.17em}a}}_{2022}\ne 0,$ be real, distinct and less than 1. For any such polynomial, consider the function $f\left(x\right)=a_{2022}\frac{e^{2022x}}{2022}+a_{2021}\frac{e^{2021x}}{2021}+\mathrm{...}+a_1{e}^x+a_{0}x$, then