F(x) = x³ - 9x x3 What is the average rate of change of f over the interval [1, 6]?

asked Feb 16, 2023 83.0k views

1 vote

F(x) = x³ - 9x

x3
What is the average rate of change of f over the
interval [1, 6]?

4.7k points

Please log in or register to add a comment.

1 vote

$f(1) = 1 {}^(3) - 9(1) = - 8 \\ f(6) = 6 {}^(3) - 9(6) = 162$

$rate = (f(6) - f(1))/(6 - 1) = (162 - ( - 8))/(6 - 1) = (170)/(5) \\ rate \: of \: change = 34 \: y \: per \: x$

Ashok answered Feb 23, 2023

by Ashok

3.6k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.3m questions

5.6m answers