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Consider the function f(x) = { x² , x > 2 ; 3x – 2 , x ≤ 2 }
Which one of the following statements is correct in respect of the above function?

Mathematics 2013 NDA Mathematics 2013 NDA 2013

Options

f(x) is derivable but not continuous at x = 2

f(x) is continuous but not derivable at x = 2

f(x) is neither continuous nor derivable at x = 2

f(x) is continuous as well as derivable at x = 2