Question

Let f : [0,2] → R be a twice differentiable function such that f " (x) > 0, for all x ∈ (0,2). If Φ(x) = f(x) + f(2 - x), then Φ is:
(A) increasing on (0, 2)
(B) decreasing on (0, 2)
(C) decreasing on (0, 1) and increasing on (1, 2)
(D) increasing on (0, 1) and decreasing on (1, 2)

Answer 1

Answer:

according to my knowledge the answer is option ( B )