Find the average rate of change of the function over the given interval. f(x) = 3x − 2; [0, 5]

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 = 

So our the average rate of change on the interval (domain) [0,5] is 3.

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38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)