Consider the function $f(x) = x^3-3x^2+2x-4$ on the interval $[ 0 , 2 ]$. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval:

$f(x)$ is on $[0,2]$;
$f(x)$ is on $(0,2)$;
$f(0)=f(2)=$ .

Then by Rolle's theorem, there exists a $c$ such that $f'(c)=0$.
Find all values $c$ that satisfy the conclusion of Rolle's theorem and give then in a comma-separated list.

Values of $c$: