AI Tools
Health
Math
Everyday Life
Finance
Physics
Chemistry
Statistics
Construction
Pets
Time & Date
Conversion Calculator
Sign InPages
Category
Follow Us On:
Pages
Category
Follow Us On:
Enter the function f(x), X₁ and X₂ long with values in the Average Rate of Change Calculator to determine f(x₁), f(x₂), f(x₁)-(x₂), (x₁-x₂), and the rate of change.
Related
Use this online average rate of change calculator to determine the average rate at which a function changes over a given interval. It measures how one quantity changes on average with respect to another. Let’s explore how to calculate the average rate of change using a formula.
The average rate of change measures how one quantity changes as another quantity changes. In other words, it is the total change in the output of a function divided by the total change in the input over a specific interval.
The standard formula is:
$$ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} $$
Where:
To calculate the average rate of change, follow these steps:
Find the average rate of change of the function f(y) = 3y² + 5 over the interval [-1, 3].
Solution:
Step 1 – Identify the endpoints:
a = -1, b = 3
Step 2 – Evaluate the function at both endpoints:
$$ f(a) = f(-1) = 3(-1)^2 + 5 = 3 + 5 = 8 $$
$$ f(b) = f(3) = 3(3)^2 + 5 = 27 + 5 = 32 $$
Step 3 – Substitute into the formula:
$$ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} = \frac{32 - 8}{3 - (-1)} = \frac{24}{4} = 6 $$
From Wikipedia: Rate of Change .
From Brilliant: Average and Instantaneous Rate of Change .
Related
Add this calculator to your site.
×Just copy a given code & paste it right now into your website HTML (source) for suitable page.
Preview:
Easter into Action, Save With Satisfaction
UPTO
50 %
OFF
Give Us Your Feedback
Share Result
Average Rate of Change Calculator
Links
Home Conversion Calculator About Calculator Online Blog Hire Us Knowledge Base Sitemap Sitemap TwoEmail us at
Contact Us© Copyrights 2026 by Calculator-Online.net
