Question

Describe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3+4. Include the average rate of change in your answer.

Use simple words please : )

Answer 1

Bro it’s f(4)=2(6)^3+4

Answer 2

In this question, we want to find the average rate of change of a function over an interval, it represents how much f(x) changes when x changes by 1.

Athe the average rate of change:

The average rate of change of a function over an interval [a,b] is given by:

In this question:

Between x = 4 and x = 6, so . Then

Then

Thus, the average rate of change of the function is 152, that is, when x changes by 1, y changes by 152.