Mathematics

Mathematics

Problem

Consider the function f(x)={x3+2,x<0,2cos⁡x,0≤x≤π,x−π+1,x>π.f(x)= \begin{cases} x^{3}+2, & x<0,\\ 2\cos x, & 0\le x\le \pi,\\ \sqrt{x-\pi}+1, & x>\pi. \end{cases} How many xx-values on the real line are relative extrema of ff? a) 11 b) 33 c) 22 d) 00

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