The function h is differentiable, and for all values of x, h(x)=h(2-x) Which of the following statements must be true?
1. Integral (from 0 to 2) h(x) dx >0
A. 1 only
C. 3 only
D. 2 &3 only
E. 1,2 &3
None that I am aware of
The Attempt at a Solution
If h(x) = h(2-x) then h'(x) must also = h'(2-x)
Therefore, when x=0, h'(0)=h'(2)
However, we cannot say for sure that both = 1. Thus I eliminate any options with '3'.
Have been stuck here for a while, please help.