A function is defined as follows f x minus x radic x2 x ne 0 nbs...........

Mathematics (NDA) Relations and Functions

A function is defined as follows:

f(x) = { − x / √x², x ≠ 0

{ 0, x = 0

Which one of the following is correct in respect of the above function?

f(x) is continuous at x = 0 but not differentiable at x = 0

f(x) is continuous as well as differentiable at x = 0

f(x) is discontinuous at x = 0

None of the above

f(x) = { −1, x > 0

{ 0,

{ x = 0

{ −1, x < 0

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