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Let f:[-1/2, 2]toR and g:[-1/2,2]toR be ...

Let `f:[-1/2, 2]toR` and `g:[-1/2,2]toR` be function defined by `f(x)=[x^(2)-3]` and `g(x)=|x|f(x)+|4x-7|f(x)` where [y] deonotes the greatest integer less than or equal to y for `y epsilonr`. Then

A

f is discontinuous exactly at three points in `[ -(1)/(2),2]`

B

f si discontinuous exactly at four points in `[-(1)/(2) ,2]`

C

g is NOT differentiable exactly at four points in `(-(1)/(2),2)`

D

g is NOT differentiable exactly at five points in `( -(1)/(2),2)`

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The correct Answer is:
B, C
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