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## Homework Statement

1. if a function is twice continuously differentiable with f''(x) >= 0 for all real values of x then

(f(-x) + f(x))/2 >= f(0) ?

2. if a function is twice continuously differentiable with f''(x) >= 0 for all real values of x then

tf(x) + (1-t)f(y) >= f(tx+(1-t)y)

for all real values of x and y and for 0<=t<=1

I am really confused with these types of questions and to how to attempt them in my exam.

Thanks