Evaluate f(1),f(2),f(5) and f(16)f(1), f(2), f(5) \text{ and } f(16) in order where f(x)={x3−1x2+1ifx<22x3+xif2≤x≤5x2+1ifx>5f(x)= \left\{\begin{matrix} x^3-\dfrac{1}{x^{2}+1} &\text{if}& x<2 \\ 2x^{3}+x &\text{if}& 2\le x\leq5 \\ x^{2} +1 &\text{if}& x> 5 \end{matrix}\right.

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