Was playing around on desmos and discovered that the graph of x! = y does not interact with zero at any point. Was wondering if any maybe complex number or number that desmos didn't properly compute who's factorial equals zero.
Keep in mind I am just a highschool student so I might not understand some terminology
Your question is flawed because factorial is only defined for $\mathbb{N}_0$. Since $0!=1$ and $\forall x\in\mathbb{N}_{>0}, x!>(x-1)!$, clearly there are no zeros.
Desmos actually display the Gamma function when one inputs $y=x!$. There are many proofs online as to why the Gamma function has no zeros.
