# Average Rate of Change Calculator

Find the Average Rate of Change
Average Rate of Change of a Function ‘f’ from a to b
$$\begin{array}{l}=\frac{f(b)-f(a)}{b-a}\end{array}$$
Enter the value of f(b) =

Enter the value of f(a) =

Enter the value of b =

Enter the value of a =

Average Rate of Change =

The Average Rate of Change Calculator is a free online tool that displays the average rate of change of a function. BYJU’S online average rate of change calculator tool performs the computations faster and it displays the average rate of change in a fraction of seconds.

## How to Use the Average Rate of Change Calculator?

The procedure to use the average rate of change calculator is as follows:

Step 1: Enter the values such as f(a), f(b), a value, and b value in the given input field

Step 2: Click the button “Calculate Average Rate of Change” to get the output

Step 3: Finally, the average rate of change will be displayed in a new window

### What is the Average Rate of Change?

In Maths, the average rate of change of a function between two input values is defined as the total change of the output values (function) divided by the change in the input values. Generally, the rate of change defines how one quantity changes in relation to the change in the other quantity. While calculating the average rate of change, how fast the output functional values changes are compared to the input values.

### Standard Form

The standard formula to determine the average rate of change is given as follows:

For any function f(x) = y between the value x = a, and x = b, then the formula is

Average Rate of Change = [f(b)-f(a)] / [b-a]

## Frequently Asked Questions on The Average Rate of Change Calculator

### What is the difference between the rate of change and slope?

The slope of the line represents the rate of change. But the distinct difference between the two is that the rate of change compares the difference between the two measurements, whereas the slope is the strict property of graphed lines.

### What does the positive and negative rate of change mean?

The positive rate of change means that the measurement of the quantity is increasing over time. The negative rate of change means that quantity measure is decreasing over time.

### What is meant by zero rates of change?

The average rate of change is zero when the sum of all the positive and the negative slope on the given interval will be zero. In this case, f(a) should be equal to f(b). This is known as a zero rate of change.