Question

Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x^3 + 2.

include the average rate of change in your answer.

Answer 1

Explanation:

step 1. we will denote the average rate of change as r.

step 2. r = (f(5) - f(3))/(5 - 3)

step 3. r = (375 - 81)/2

step 4. r = 294/2

step 5. r = 147.

step 6. note: this is just like finding m. m = (y2 - y1)/(x2 - x1)