#19. state the possible number of imaginary numbers of f(x) = 7x3 - x2 + 10x - 4
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To solve this we are going to use the average rate of change formula: 
where
is the average rate of change of the function
is the position function evaluated at 
is the position function evaluated at 
is the first point in the interval
is the second point in the interval
We can infer for our problem that the first point is 3 and the second point is 6, so
and 
. Lets replace those values in our formula:
We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>
where
We can infer for our problem that the first point is 3 and the second point is 6, so
We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>