 Uh Oh! It seems you’re using an Ad blocker!

We always struggled to serve you with the best online calculations, thus, there's a humble request to either disable the AD blocker or go with premium plans to use the AD-Free version for calculators.

Or # Average Rate of Change Calculator

Enter the function f(x), X₁ and X₂ values in the average rate of change calculator to know the f(x₁), f(x₂), f(x₁)-(x₂), (x₁-x₂), and the rate of change.

Enter a Function:

Enter (x₁)

Enter (x₂)

Table of Content

 1 What Is A Board Foot In Lumber (BF)? 2 Board Foot Formula: 3 Board Foot Units: 4 Important Thickness: 5 How To Calculate Board Feet? 6 What do you mean by the term “Surface Measure”? 7 What is meant by nominal measurement? 8 How do you define lineal measurement?

Get the Widget!

Add this calculator to your site and lets users to perform easy calculations.

Feedback

How easy was it to use our calculator? Did you face any problem, tell us!

Use this online average rate of change calculator that helps you to determine the average rate of a function on the given interval. Well, it is a rate that tells how a number changes on average with another. So, let’s dive in, to understand how to find average rate of change with a formula.

## What is the Average Rate of Change?

Generally, it defines how one quantity changes with the change in the other value. In other words, the average rate of change of a given function between input values is expressed as the total change of the output function divided by the change in input values.

### Average Rate of Change Formula:

The standard average rate of change equation is:
$$\frac {f(b)−f(a)} {b−a}$$

Where,
• (a, f(a)) are coordinates of the first point
• (b, f(b))are coordinates of other point.

## How to Find Average Rate of Change of a Function?

If you know the intervals and a function, then, we apply the standard formula that calculates the average rate.
Example:
Find the average rate of change of function f(y) = 3y2 + 5 on the y interval (-1, 3).
Solution:
Where value of set a = -1 and b = 3 so that “a” is the left interval, and b is the right side on interval.
$$f(a) = 3(-12) + 5 = 8$$
$$f(b) = 3(32) + 5 = 32$$
Now, let’s substitute values into the average rate of change formula.
$$\frac{(32 – 8)}{(3 – (-1))}$$
$$\frac{24}{4} = 6$$

## How Average Rate of Change Calculator Works?

### Input:

• Firstly, enter a function for calculating the average rate.
• Now, plug in the values of the interval
• Press the calculate button

### Output:

• Initially, the calculator displays the given function and interval.
• Then, provide the stepwise solution.
• Hence, you can do calculations numerous times by click on the “Recalculate” button.

## Reference:

From the source of Wikipedia: Slope Formula, Calculating Slope from a Graph, Slope Formula and Coordinates, Slope of Horizontal and Vertical Lines.

From the source of Brilliant: Average and Instantaneous Rate of Change, Instantaneous Rate of Change.