to find average rate of change, use
slope equation delta y/delta x
the following formula:
Average Rate of Change = (change in output)/(change in input)
This formula calculates the average rate at which the output variable changes with respect to the input variable over a given period of time.
For example, if we want to find the average rate of change of a function y=f(x) between two points x1 and x2, we can use the following formula:
Average Rate of Change = (f(x2) – f(x1))/(x2 – x1)
This formula calculates the average rate of change of the function f(x) over the interval [x1, x2]. It tells us how much the output variable changes on average for every unit change in the input variable over the given interval.
It’s important to note that the average rate of change is not the same as the instantaneous rate of change (i.e. the derivative). The derivative tells us the exact rate of change of the function at a specific point, whereas the average rate of change tells us the average rate of change over a given interval.
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