Top

Average Rate of Change Calculator
Top
Average rate of change gives the average rate at which one quantity changes with respect to other.
It is given as:
A(x) = $\frac{f(b) - f(a)}{b - a}$
Where f(a) and f(b) are two given functions.
Average Rate of Change Calculator calculates the rate of change of slopes with respect to the given range. It is also called as rate of change calculator as it does so.To find the average rate of change calculator of a function the average rate of change of a function calculator is used. It is also known as average rate of change solver. You just have to enter the value of f(a), f(b), a and b and get the answer instantly.

## Steps for Average Rate of Change Calculator

Step 1 :

Read the problem and observe the given range where range lies between (a,b). find the value of the function for that range.

Step 2 :

Use slope formula
A(x) = $\frac{f(b) - f(a)}{b - a}$

Where f(a) and f(b) are the given functions.

substitute the values of f(a) and f(b).

Step 3 :

Now simplify the given expression to get the final answer.

## Probelms on Average Rate of Change Calculator

1. ### Find the slope of the curve:f(x) = $\frac{1}{5}$ (2x - 1) as x changes from 2 to 0?

Step 1 :

Given: f(a) = f(2) = 0.6

f(b) = f(0) = -0.2

Step 2 :

Use slope formula
A(x) = $\frac{f(2) - f(0)}{2 - 0}$

= $\frac{0.6 - (-0.2)}{2 - 0}$

Step 3 :

A(x) = $\frac{0.8}{2}$

= 0.4

The average rate of change = 0.4

2. ### Find the average rate of change of function f(x) = $\frac{x^{2}}{2}$ as x changes from 3 to 1?

Step 1 :

given: f(a) = f(3) = $\frac{3^{2}}{2}$ = 4.5

f(b) = f(0) = $\frac{1}{2}$ = 0.5

Step 2 :

Using the formula for slope, we get:

A(x) = $\frac{f(3) - f(1)}{3 - 1}$

= $\frac{4.5 - (0.5)}{3 - 1}$

Step 3 :

A(x) = $\frac{4}{2}$

= 2