Question

Let f(x) be twice differentiable function such that f "(x) > 0 in [0, 2]. Then which of the following option(s) is/are correct?

A. f(0)+f(2)=2f(c), for atlease one c,c ϵ (0,2)
B. f(0)+f(2)<2f(1)
C. f(0)+f(2)>2f(1)
D. 2f(0)+f(2)>3f(2/3)