Consider the function $f(x) = x^2-4x+2$ on the interval $[ 0 , 4 ]$. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval.

$f(x)$ is on $[0,4]$;
$f(x)$ is on $(0,4)$;
and $f(0)=f(4)=$ .

Then by Rolle's theorem, there exists at least one value $c$ such that $f'(c)=0$. Find all such values $c$ and enter them as a comma-separated list.

Values of $c=$: