Question

What is true of the function as the x-values increase?

A) The function is increasing but the average rate of change is decreasing.

B) The function is decreasing, but the average rate of change is increasing.

C) The function is increasing, and the average rate of change is increasing.

D) The function is decreasing, and the average rate of change is decreasing.

Answer 1

The function is increasing but the average rate of change is decreasing.

Step-by-step explanation:

The correct answer is A) The function is increasing but the average rate of change is decreasing.

When a function is increasing, it means that as the x-values increase, the corresponding y-values also increase. However, the average rate of change is the change in y divided by the change in x. In this case, even though the function is increasing, the rate at which it is increasing is decreasing. This means that the function is getting steeper at a slower rate as the x-values increase.