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If f(x) be such that f(x) = max (|3 - x|...

If f(x) be such that `f(x) = max (|3 - x|, 3 - x^(3))`, then

A

f(x) is continuous `AA x in R`

B

f(x) is differentiable `AA x in R`

C

f(x) is non-differentiable at three points only

D

f(x) is non-differentiable at four points only

Text Solution

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The correct Answer is:
A, D
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