We need to graph the function:
[tex]g(x)=\cos x-4[/tex]
In order to do so, we can identify some points (x, g(x)), then plot and join them, drawing a wave.
We have:
[tex]\begin{gathered} g(-\pi)=\cos(-\pi)-4=-1-4=-5 \\ \\ g(-\frac{\pi}{2})=\cos(-\frac{\pi}{2})-4=0-4=-4 \\ \\ g(0)=\cos(0)-4=1-4=-3 \\ \\ g(\frac{\pi}{2})=\cos(\pi\/2)-4=0-4=-4 \\ \\ g(\pi)=\cos(\pi)-4=-1-4=-5 \end{gathered}[/tex]
Then, graphing g(x), we obtain:
