Find the average rate of change of f ( x ) = -2x^2 + 4x + 2 as x varies from 1.2 to 3.8

Here we need to find the average rate of change of .

Now,

Let us find out the value of at the point .

Plugging in the equation we get:

So,

Now calculating the value of at .

So,

Now that we have the values of the function at two distinct points, we can find the average by using the formula given below:

, where 'n' represents the number of values and that is two in our case and sum represents the sum of the values of the function.

Therefore,

So, the average rate of change of the function from 1.2 to 3.8 is .

answer: .75 km

step-by-step explanation: