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If f(x)={x^2(sgn[x])+{x},0 <= x <= 2; s...

If `f(x)={x^2(sgn[x])+{x},0 <= x <= 2; sin x+|x-3| ,2 < x< 4 ,` (where[.] & {.} greatest integer function & fractional part functiopn respectively ), then -

A

f(x) is differentiable at x = 1

B

f(x) is continuous but non-differentiable at x =1

C

f(x) is non-differentiable at x = 2

D

f(x) is discontinuous at x = 2

Text Solution

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The correct Answer is:
C, D
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