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 $(0,4)$;
$f(0)=f(4)=$ .

Then by Rolle's theorem, there exists a $c$ such that $f'(c)=0$.
Find the value $c$.
$c=$