The function f(x)={{:(|x-3|",", x ge1),(...

The function `f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/(4)",", x lt 1):}` is

A

Continuous at x=1

B

Continuous at x=3

C

Differentiable at x=1

D

All the above

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The correct Answer is:

D

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