AROC MAX/MIN Question

I'm only a beginner, detailed explanation please!

1. Read the following information. Which of Thomas's peer's remarks are true? Explain your answer. Thomas, a math student, was told that the average rate of change between a continuous function's two minimum values is zero. He then concluded that the instantaneous rate of change of the function at any point between minima must also be zero. [T Four of Thomas's peers evaluated his conclusion and made the following remarks. Peer 1) Thomas has an insufficient amount of information to draw any type of conclusion. Peer 2) The only place between the intervals that could yield an instantaneous rate of change of zero would be at the maximum that must exist between the two minima. Peer 3) Thomas's conclusion is reasonable because average rate of change are accurate representations of instantaneous rate of change at any given point within the interval. Peer 4) Thomas's conclusion is impossible because between the two minima, the function's value increase, thereby ensuring instantaneous rate of change greater than zero