# Average Rate of Change Calculator

A simple online calculator to find the average rate of change of a function over a given interval. Enter the function f(x), A and B values in the average rate of change calculator to know the f(a), f(b), f(a)-(b), (a-b), and the rate of change.

A simple online calculator to find the average rate of change of a function over a given interval. Enter the function f(x), A and B values in the average rate of change calculator to know the f(a), f(b), f(a)-(b), (a-b), and the rate of change.

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#### Average Rate of Change Formula:

For a function, it is the change in the y-value divided by the change in the x-value for two distinct points on the graph.

#### Formula:

c = (f(A) - f(B)) / (A-B)
**Where,**
c = Average Rate of Change
e = Expression
A = A Value
B = B Value
**Average Rate of Change of Function:**
It is the change in the value of a quantity divided by the elapsed time. In a function it determines the slope of the secant line between the two points.

Use our free online average rate of change calculator to find the average rate at which one quantity is changing with respect to an other changing quantity in the given expression (function). In the above calculator enter an expression and the values of A and B and click calculate to find the value of 'Average Rate of Change'.

### Example:

Consider an equation 2x³ + 3x + 2, with A value as 3 and B value as 2.Calculate average rate of return of a function.

#### Solution:

f(a) = 2(3)³+ 3(3) + 2

= 54 + 9 + 2

= 65

f(b) = 2(2)³ + 3(2) + 2

= 16 + 6 + 2

= 24

Hence, average rate change = 65 - 24 / 3 - 2

= 41