Question

How do you find the average rate of change of `y=x^2+1` over [-1,3]?

Answer 1

The average rate of change is `(y_2-y_1)/(x_2-x_1)`. (Yes. It is the same as the slope.)

Explanation:

In this question, `x_1 = -1`, so `y_1 = 2`

ans `x_2 = 3`, so `y_2=10`.

`(y_2-y_1)/(x_2-x_1) = (10-2)/(3-(-1)) = 8/4=2`