Average Rate of Change Calculator

A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Average rate of change is therate at which the function value is changing with respect to the change in the ‘x’ value. Average rate of change for any given function or curve is also called the slope at the given points. Average rate of change calculator is the tool which can easily find the slope or the average rate of change.

Example 1: Find the average rate of change (or slope) of the function, f(x) = 3x – 5 when the ‘x’ value changes from -3 to 1.

Average rate of change = [f(b) – f(a)] / (b-a)

’x’ is changing from -3 to 1 a = -3 and b = 1

f(-3) = (3*-3)–5 = -9 – 5 = -14

f(1) = (3*1) – 5 = 3 – 5 = -2

Average rate of change = [-2 – (-14)] / [(1 – (-3)] (-2 +14)/ (1 + 3) 12/4 = 3

Average rate of change = 3

Example 2: Find the average rate of change (or slope) of the function, f(x) = 2x + 4 when the ‘x’ value changes from 0 to 3.

Average rate of change = [f(b) – f(a)] / (b-a)

’x’ is changing from 0 to 3 a = 0 and b = 3

f(0) = (2*0)+4 = 0+4 = 4

f(3) = (2*3)+4 = 6+4 = 10

Average rate of change = [f(3) – f(0)] / (3 – 0)

(10–4) / (3-0) = 6/3 = 2

Average rate of change = 2

I just want you to know how great Brinda has been in tutoring me on probability. She is patient and very knowledgeable in all concepts. I look forward to many more sessions with her. I appreciate her help and the great work that Tutor Pace is doing.

- -
- 9th Grade, from Barbara

Thank you for your excellent tutoring services. It has surely made a lot of difference in our child's academic performance.

- -
- 9th Grader, from Venkat (father of Sai)

I have enjoyed my session with Aparna and it was helpful. I will hope to see her as my Math tutor in future sessions as well.

- -
- 10th Grade, from Senia Revayo

Your tutor has been such an inspiration to me as I have difficulty getting some of the physics concepts down and truly understanding them. She takes the time to fully explain each and every aspect of any problem I might ask for help and always with encouragement and humor.

- -
- 9th Grader, from Kansas

A PHP Error was encountered

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL

HAVE A QUESTION? Chat With Our Tutoring Experts Now