Let \( f(x) = \begin{cases} |\lfloor{x}\rfloor| &\text{if }x\text{ is rational}, \\ \lceil{x}\rceil^2 &\text{if }x\text{ is irrational}. \end{cases} \).Find \(f(\sqrt[3]{-8})+f(-\pi)+f(\sqrt{50})+f\left(\frac{9}{2}\right).\)
\(f(\sqrt[3]{-8}) + f(-\pi) + f(\sqrt{50}) + f(\frac{9}{2}) = -1 + 9 + 50 + 2 = 60\)
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