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Which of the following statements is true for the function `f(x)={sqrt(x),xgeq1x^3,0lt=xlt=1(x^3)/3-4x ,x<0` a) It is monotonic increasing `AAx in Rdot` b) `f^(prime)(x)` fails to exist for three distinct real values of `xdot` c) `f^(prime)(x)` changes its sign twice as `x` varies from `-ootooodot` d) The function attains its extreme values at `x_1a n dx_2,` such that `x_1a n dx_2>0`

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