Is is the image correct and is the answer to part (b) of the question below also correct?
- Consider a function $f : \mathbb{R} \rightarrow \mathbb{R}.
(a) State the Mean Value Theorem for $f$ on an interval $[a, b]$.
**(b) Compute the mean value $M_k$ on the interval $[0, k], k > 0$ of the function $f(x)= (x- 1)(x- 3) = x^2 - 4x + 3**$
(c) Find $k > 0$ such that $M_k = 0$
(Context for my question) Math is not my strongest suit and I have a lot of self-doubt.I wanted to confirm that both equations are the same; I've tried to check it myself but whatever I get I doubt going back to my shaky confidence. Thanks!
