Chapter 7.6, Problem 12AYU

a.

To determine

The y-intercept of the graph of $g\left(x\right)=\cos x$.

b.

To determine

The numbers $x,-\pi \le x\le \pi$ for which the graph of $g\left(x\right)=\cos x$ is decreasing.

c.

To determine

The absolute minimum of $g\left(x\right)=\cos x$.

d.

To determine

The numbers $x,0\le x\le 2\pi$, for which the function $g\left(x\right)=\cos x$ attains the value 0.

e.

To determine

The numbers $x,-2\pi \le x\le 2\pi$, for which the function $g\left(x\right)=\cos x$ attains the value 1 and $-1$.

f.

To determine

The numbers $x,-2\pi \le x\le 2\pi$, for which the function $g\left(x\right)=\cos x$ attains the value $\frac{\sqrt{3}}{2}$.

g.

To determine

The x-intercepts of the graph of the function $g\left(x\right)=\cos x$.