Question

HELPP

Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.

Answer 1

Given
`f(x)=2x^3+4`, the average rate of change of
`f` on the interval
`[4,6]` is
`152`

Explanation:

Applying the average rate of change formula, we find
`(f(6)-f(4))/(6-4)=\frac{2\cdot6^3+4-2\cdot4^3-4}2=\frac{432-128}2=\frac{304}2=152`