Consider the function f(x)=x+2cosx on the interval [0,pi]

Question

This function has two critical numbers A<B with A=____ and B=___

On the interval [0,pi], the function has an absolute maximum of ___ at x=____ and an absolute minimum of ____ at x=____

Answer 1

Graph this function!

The absolute max and min on the interval stated are the same as the local extrema which occur at π/6 and 5π/6.