Chapter 5.4, Problem 12AYU

$g\left(x\right)=\cos x$

(a) What is the $y\text{-intercept}$ of the graph of $g$?

(b) For what numbers $x$, $-\pi \le x\le \pi$, is the graph of $g$ increasing?

(c) What is the absolute maximum of $g$?

(d) For what numbers $x$, $\text{0 }\le x\le \text{ 2}\pi$, does $g\left(x\right)=0$?

(e) For what numbers $x$, $\text{-2}\pi \le x\le \text{ 2}\pi$, does $g\left(x\right)=1$? Where does $g\left(x\right)=\text{ -1}$?

(f) For what numbers $x$, $\text{-2}\pi \le x\le \text{ 2}\pi$, does $g\left(x\right)=\frac{\sqrt{3}}{2}$?

(g) What are the $x\text{-intercept}$s of $g$?