Question

what do the average rates of change of the function y= x+2 over the intervals {-2,0],[0,3], and [-2,3] indicate about the function?

Answer 1

• The function is linear

Explanation:

Given function:

• y = x + 2

It is a line with the slope of 1.

Average rate of change is same in any interval of the linear function and it equals to the rate of change or slope of the line.

You can calculate the average rate of change in the given intervals and you will always get the value of 1.