Two students in your class, Wilson and Alexis, are disputing a function. Wilson says that for the function, between x = -1 and x = 1, the average rate of change is 0. Alexis says that for the function, between x = -1 and x = 1, the graph goes up through a turning point, and then back down. Explain how Wilson and Alexis can both be correct, using complete sentences.

Question

anonymous · Answer

The graph is systemic around the y-axis with the highest point on the y-axis

likeabossssssss · Answer

welcome to os

artemis17 · Answer

Hi, I just need help understanding on the question!!

peachpi · Answer

if the function has an avg roc of 0 between -1 and 1, then f(-1) = f(1).

If the function is continuous, it must go through a turning point between -1 and 1 in order for f(-1) to equal f(1).

peachpi · Answer

I believe that's either Rolle's theorem or the mean value theorem