What is the average rate of change I would like to know how does

the formula f(2.1)-f(2)= 12.3 how did they get that answers

To find the average rate of change, you need to calculate the difference between the function values at two given points and divide it by the difference in their corresponding input values.

In this case, the given equation is: f(2.1) - f(2) = 12.3.

To find the average rate of change, you need to subtract the function value at f(2) from f(2.1). Let's assume the function f is defined as f(x).

So, f(2.1) - f(2) = 12.3.

To find the specific values of f(2.1) and f(2), you would need to know the equation or function that describes f(x). Once you have that information, you can plug in the values for x to evaluate the function at those points and calculate the result.

For example, if f(x) = 3x^2 - 2x + 5, then you would substitute 2.1 and 2 in place of x:

f(2.1) = 3(2.1)^2 - 2(2.1) + 5
f(2) = 3(2)^2 - 2(2) + 5

Then, you can subtract f(2) from f(2.1) and check if the result is equal to 12.3.

It's important to have the specific equation or function describing f(x) in order to evaluate and find the actual values for f(2.1) and f(2) and confirm whether the given equation is correct or not.