Question

How does the average rate of change for a square root function behave, for


intervals of fixed lengths over the domain, as the endpoints of the intervals


increase?

Answer 1

Answer:

We can see that as the endpoints of the intervals  increase, the average rate of change for a square root function decrease

Step-by-step explanation:

Take for example the following intervals:

• interval: 0 - 1, average rate of change: √1 - √0 = 1

• interval: 1 - 2, average rate of change: √2 - 1 = 0.414

• interval: 2 - 3, average rate of change: √3 - √2 = 0.317

• interval: 3 - 4, average rate of change: 2 - √3 = 0.267