How would the graph of $y=x^{x^{x^{x^\cdots}}}$ appear?

Question

Image you had the graph where $x$ is raised to itself an infinite amount of times.

Like this: $$y=x^{x^{x^{x^\cdots}}}$$

What would this graph look like, and/or how is that computed?

Thanks in advance.

Answer 1

Well, $y=x^{x^{x^{x^{...}}}}, y=x^y$

Using Wolfram the plot would look like this

Answer 2

The explicit solution of $y=x^y$ is given in terms of Lambert function $$y=-\frac{W(-\log (x))}{\log (x)}$$ and, in the real domain, it is bounded at $x=e^{\frac{1}{e}}$.

Naman Jain's answer gives the plot of it.