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Let f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1...

Let `f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1` `f(x)` has local maxima at `x=1` `f(x)` has local minima at `x=1` `f(x)` does not have any local extrema at `x=1` `f(x)` has a global minima at `x=1`

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