Consider the function $$f(x) = x^{3}-3x^{2}+3x+4$$

Find the slope of the line that connects the points $\big(0,f(0)\big)$ and $\big(2,f(2)\big)$.

The Mean Value Theorem says that slope equals $f'(c)$ at some point $c$ in the open interval $\big(2,f(2)\big)$.
List all the values of $c$ that work. (Remember they must be in the interval!) If there is more than one value separate them by commas.