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For what triplets of real numbers (a, b,...

For what triplets of real numbers `(a, b, c)` with `a != 0` the function `f(x) =[x , xleq 1 and ax^2+bx+c`,otherwise is differentiable for all real x?

A

`{(a, 1-2a, a)|a epsilon R, ane0}`

B

`{(a, 1-2a, c)|a, c epsilon R, ane0}`

C

`{(a, b)|a, b, c epsilon R, a+b+c=1}`

D

`{(a, 1-2a, 0)|a epsilon R, ane0}`

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