How can I graph this function?

Question

$$f(x)=\begin{cases} 0 & |x|\leq \frac{\pi}{2}\\ 3 & \frac{\pi}{2}<|x|\leq \pi \end{cases}$$

Maybe someone can help me? Thanks in advance!

would be great to have your thoughts and attempts. In particular, do you have any partucular doubt that prevents you from completing the task? — Siong Thye Goh, Jun 04 '21 at 09:54
Hey guys, thanks for comments. This is what I tried: https://prnt.sc/13zrm3i — benzi, Jun 04 '21 at 09:59
It seems you got it right, maybe just add semi-circles to identify strict inequalities and filled circles for loose inequalities to the ends of the segments and it will be perfect.(e.g. https://math.stackexchange.com/a/2423560/399263) — zwim, Jun 04 '21 at 10:05

score 0 · Accepted Answer · answered Jun 04 '21 at 10:05

Your graph is correct though I think it's good to highlight what value is taken when $|x|=\frac{\pi}2$.

However, what you wrote at the side is not correct.

$$\frac{\pi}{2}<|x|\le \pi$$

consists of two regions, $-\pi \le x < -\frac{\pi}2$ and $\frac{\pi}2 < x \le \pi$.

1 Answers1