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Let f(x)={(1+sin(x), if x lt 0), (x^2-x+...

Let `f(x)={(1+sin(x), if x lt 0), (x^2-x+1, if x >= 0):}`, then: (a) `f` has local maximum at `x=0`, (b). `f` has local minimum at `x=0`, (c) `f` is increasing everywhere, (d) `f` is decreasing everywhere.

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