The graph of the profit function is given as follows. Consider the average rate of change of the profit from a to 400 where a lies to the left of 400. Does the average rate of change of the profit get closer to 0 or farther from 0 as a gets closer to 400?

Question

The graph of the profit function  is given as follows. Consider the average rate of change of the profit from a to 400 where a lies to the left of 400. Does the average rate of change of the profit get closer to 0 or farther from 0 as a gets closer to 400? ​  ​

Quizplus · Accepted Answer

As a gets closer to 400, the difference between a and 400 becomes smaller, which means the change in profit over that interval becomes smaller. Therefore, the average rate of change of profit gets closer to 0.

The Graph of the Profit Function Is Given as Follows