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Let ƒ : [0, 2] → R be a twice differentiable function such that ƒ ′′ (x) > 0, for all x ∈ (0, 2). If φ (x) = ƒ(x) + ƒ(2 – x), then φ is -

1. increasing on (0, 2)
2. increasing on (0, 1) and decreasing on (1, 2)
3. decreasing on (0, 2)
4. decreasing on (0, 1) and increasing on (1, 2)

Correct answer: decreasing on (0, 1) and increasing on (1, 2)

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