f, f', and f'' characteristics

Question

anonymous · Answer

attachment

loser66 · Answer

I don't know but I don't see the correct answer there. Ha!!
if A) is correct one, then C is f, B is f' and A is f''
However, f'=0 when f get max/min. B =0 at (0,0) but at this point, C is neither max nor min. so, it can be the correct one.

loser66 · Answer

Moreover, A is f" and it is >0 at all x, that means f has concave up at all interval, but C has concave down in 2 intervals. That's not true if A ) is correct.

loser66 · Answer

@zepdrix

noelgreco · Answer

Think about the graphs of polynomials.  You should see a quartic, a cubic, and a quadratic.  Then think about which is the derivative of which.

loser66 · Answer

oh, if solving the problem by this logic, then A is correct answer. Ha!! I was taught that I have to read the graph to find out which one is original function.

loser66 · Answer

However, I am not convinced with that answer. I am sorry, I am picky.

anonymous · Answer

Me neither