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Let f: RrarrR be a function defined by ...

Let `f: RrarrR` be a function defined by :
`f(x) ={{:(max_(tlex)(t^3-3t),", "xle2),(x^2+2x-6,", " 2ltxlt3),([x-3]+9,", " 3lexle5),(2x+1,", " xgt5):}` where [t] is the greatest integer less than or equal to t. Let m be the number of points where f is not differentiable and `I= int_(-2)^(2) ` f(x) dx. Then the ordered pair (m, I) is equal to :

A

`(3,27/4)`

B

`(3,23/4)`

C

`(4,27/4)`

D

`(4,23/4)`

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