The graph of the profit function is given as follows. Consider the average rate of change of the profit from a to 350 where a lies to the left of 350. Does the average rate of change of the profit get closer to 0 or farther from 0 as a gets closer to 350?

Question

The graph of the profit function  is given as follows. Consider the average rate of change of the profit from a to 350 where a lies to the left of 350. Does the average rate of change of the profit get closer to 0 or farther from 0 as a gets closer to 350? ​  ​

Quizplus · Accepted Answer

As a approaches 350, the tangent lines to the curve become steeper and steeper, indicating that the profit is increasing at a faster rate. Therefore, the average rate of change of the profit from a to 350 will also be increasing, causing it to get closer to a positive value (i.e. closer to 0) as a approaches 350.

The Graph of the Profit Function Is Given as Follows