Practice problem

Graphs of Piecewise Functions

\text{Embrace Your Geekness Day}

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Today (July 13) is Embrace Your Geekness Day! It is a day to be proud that you're still into Pokemon, you regularly marathon Lord of the Rings, or that you complete solve sets every week.

What nerdy symbol does this piecewise make?

\begin{align} y&=\begin{cases} 0;&0\le x\le4\\ \sqrt3 x;&0<x\leq2\\ 4\sqrt3-\sqrt3x;&2<x<4\\ \frac{2\sqrt{3}}{3}+\sqrt{\frac{4}{3}-\left(x-2\right)^2};&\\ \frac{2\sqrt{3}}{3}-\sqrt{\frac{4}{3}-\left(x-2\right)^2};& \end{cases}\\ x&=\begin{cases} 2;&0<x<2\sqrt3 \end{cases} \end{align}