1.
The maximum and minimum values of the function f:RRf : \mathbb{R} \to \mathbb{R} defined by f(x)=5cosx+3cos(x+π3)+8f(x) = 5\cos x + 3\cos\left(x + \frac{\pi}{3}\right) + 8 for all xRx \in \mathbb{R}, are respectively