Graph the Equation $y=x+\cos 2 x, 0 \leq x \leq \pi$

Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.
- $y=x+\cos 2 x, 0 \leq x \leq \pi$

A)
local minimum: $\left(\frac{\pi}{4},-1\right)$
local maximum: $\left(\frac{3 \pi}{4}, 3\right)$
inflection point: $\left(\frac{\pi}{2}, 1\right)$


B)
local minimum: $(1.444,-0.246)$
local maximum: $(0.126,1.031)$
inflection points: $(0.785,0.393) ,(2.356,1.178$



C) C) no local extrema
inflection point: $\left(\frac{\pi}{2}, \frac{\pi}{2}\right)$


D) local minimum: $\left(\frac{5 \pi}{12}, \frac{5 \pi-6 \sqrt{3}}{12}\right)$
local maximum: $\left(\frac{\pi}{12}, \frac{\pi+6 \sqrt{3}}{12}\right)$
inflection points: $\left(\frac{\pi}{4}, \frac{\pi}{4}\right) ,\left(\frac{3 \pi}{4}, \frac{3 \pi}{4}\right)$