Please help! AB calc

f : III

f' : II

f'' : I

Explanation:

From x = 0 to about x = 1.5, graph III decreases; on this interval, II is negative. From x = 1.5 to x = 2, graph III increases; on this interval, II is positive.  From x = 2 to about x = 2.3, graph III decreases; on this interval, II is negative. From about x = 2.3 to x = 3, graph III increases; on this interval, II is positive. And finally, from about x = 3 to about x = 4, graph III decreases; on this interval, II is negative.

Therefore, graph II corresponds with the slope trend of graph III. If III is f, II is f'.

To determine that graph I corresponds with the slope trend of graph II and is therefore f'', follow a similar process comparing graphs I and II.

If II is f', I is f''.

Therefore, f : III and f' : II and f'' : I