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Let [t] denote the greatest integer less...

Let [t] denote the greatest integer less than or equal to t.
Let f (x) = x-[x], g(x) = 1-x+[x], and h(x) = min{f(x), g(x)}, `x in [-2,2].`
Then h is :

A

not continuous at exactly four points in [-2,2]

B

Continous in [ - 2, 2] but not differentiable at exactly three poionts in ( - 2, 2)

C

not continuous at exactly thr'ee points in [ - 2,2]

D

continuous in [ - 2, 2] but not differentiable at more than four points in ( - 2, 2)

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