Question

You are told that the average rate of change of a particular function is always negative. What can you conclude about the graph of that function and why?

Answer 1

If a function is increasing, the average rate of change between any 2 points must be positive.

Answer 2

If it's always negative, no matter what interval we are looking at, we can conclude that the graph is always sloped downward, or decreasing, from left to right.