Question

What is the average rate of change over the interval [-2,0]?Type the numerical value for your answer as a whole number, decimal or fractionMake sure answers are completely simplified

Answer 1

Ok, so

Let me draw the situation here below:

Ok, so

We know that the average rate of change of a function (A) between two points a and b, could be found if we do the following:

A = (f (b) - f (a) ) / (b - a)

In this case, we have that:

f ( a ) = f ( - 2) = 2

f ( b ) = f ( 0 ) = - 3

and the interval [a,b] is [-2,0].

Then, we replace:

A = (-3 - 2) / ( 0 - (-2)). This is A = -5/2.

So, the average rate of change over the interval [-2,0] is equal to -2.5