Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.

1

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

                  f(b) - f(a)

ave. val. =

                     b - a

which in this particular case is

                     19 - 30

ave. val. = = -11/11 = 1

                     6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.

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