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If f(x)={{:(2a-x","" for "-altxlta),(...

If `f(x)={{:(2a-x","" for "-altxlta),(3x-2a","" for "xgea):}` then which of the following is true?

A

f(x) is continuous for all x in R

B

f(x) is differentiable for all `xgea`

C

f(x) is not differentiable at x = a

D

f(x) is discontinuous at x = a

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