+206 Lana defines a function $f(x)$ which is given by the formula
$$f(x) = x^2,$$
but only on a domain, she has specified which consists of finitely many values $x$; she leaves the function undefined for all other $x$.
Given that the range of $f(x)$ is $\{0,1,2,3,4,5,6,7,8,9\}$, what is the maximum number of points that could be in its domain?
+1223 \(\text{Domain} \quad \{0, 1, \sqrt{2}, \sqrt{3}, 2, \sqrt{5}. \sqrt{6}. \sqrt{7}, \sqrt{8}, 3\}\)
This is a total of 10 values.
