How do you find the average rate of change of the function #F(x)=x^26x+5# over the interval [2, 2+h]?
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To find the average rate of change of the function (F(x) = x^2  6x + 5) over the interval ([2, 2+h]), you need to calculate the difference in function values over the interval and divide it by the difference in (x) values.

Find (F(2)) and (F(2+h)): (F(2) = (2)^2  6(2) + 5)
(F(2+h) = (2+h)^2  6(2+h) + 5) 
Calculate the difference in function values: (F(2+h)  F(2))

Divide the difference in function values by the difference in (x) values: (\frac{F(2+h)  F(2)}{(2+h)  (2)})
This expression will give you the average rate of change of the function (F(x) = x^2  6x + 5) over the interval ([2, 2+h]).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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