To find the avarage rate of change, we first need to find our y-coordinates.
This brings us to our first step: filling in the x-coordinates (of the domain) in the formula.
f(0) = 3*0 - 2 = -2
f(5) = 3*5 - 2 = 15- 2 = 13
We now have found the following coordinates
(0,-2) and (5,13).
To find the avarage rate of change we need to use the following formula:
rate of change = Δy / Δx
With Δ representing the change of coordinates. Filling in this formula, gives us:
rate of change = [tex] \frac{13 - -2}{5 - 0} = \frac{15}{5} = 3 [/tex]
So our answer: the average rate of change on the interval (domain) [0,5] is 3.
