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JEE Math Practice Question

Let f : R $$\to$$ R be defined as $$f(x) = \left\{ {\begin{matrix} { - {4 \over 3}{x^3} + 2{x^2} + 3x,} & {x > 0} \\ {3x{e^x},} & {x \le 0} \\ \end{matrix} } \right.$$. Then f is increasing function in the interval

  1. A.$$\left( { - {1 \over 2},2} \right)$$
  2. B.(0,2)
  3. C.$$\left( { - 1,{3 \over 2}} \right)$$
  4. D.($$-$$3, $$-$$1)

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