Consider the functionf(x) =x²-x. Compute the average rate of change offasxvaries from 1 to 1 +h. Suppose now thathis a number that is close to zero, but is slightly larger than 0 or slightly smaller than 0. The average rate of change offasxvaries from 1 to 1 +his the slope of the line that is passing through the points (1,f(1)) and (1+h,f(1+h)). Imagine that the first point is fixed, but that the second point is a point on the curve that is moving towards the first.

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