Consider the function $$f(x) = x^3 - 3 x^2+ 3 x+ 4$$ Find the average slope of this function on the interval $( 0 , 2 )$.
By the Mean Value Theorem, we know there exists a $c$ in the open interval $( 0, 2 )$ such that $f'(c)$ is equal to this mean slope. Find the two values of $c$ in the interval which work, enter the smaller root first: $\le$