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JEE Math Practice Question

Let ƒ : [0, 2] $$ \to $$ R be a twice differentiable function such that ƒ''(x) > 0, for all x $$ \in $$ (0, 2). If $$\phi $$(x) = ƒ(x) + ƒ(2 – x), then $$\phi $$ is :

  1. A.decreasing on (0, 2)
  2. B.decreasing on (0, 1) and increasing on (1, 2)
  3. C.increasing on (0, 2)
  4. D.increasing on (0, 1) and decreasing on (1, 2)

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