Does anybody have other suggestions? Or maybe some elaboration on the symmetry idea? It is right that f(10)>f(-2), but I don't know solid proof for this unless taking integral, which is out of range of permitted tools
Thank you for reply,
The graph f(x) is not exactly symmetrical about x=3 since f(-2)=-3.67 while f(8)=-5.33, though the distance from 3 to -2 and 8 is the same.
The data is taken from integral function y=(1/12)x^3-(3/4)x^2.
Would you please help me with the question:
The graph of derivative f'(x)= (1/4)x(x-6) is given.
What value is greater f(-2) or f(10)?
It is permitted to sketch f(x) using f'(x) graph, but you can not take the integral of f'(x) directly.