average rate of change AKA
slope
The average rate of change refers to the ratio of the change in the value of a quantity to the change in the time interval over which the change occurs. In mathematical terms, the average rate of change of a function f(x) with respect to x over the interval [a,b] is given by:
Average rate of change = (f(b) – f(a)) / (b – a)
It represents the slope of the secant line passing through the points (a, f(a)) and (b, f(b)) on the graph of the function. The average rate of change is a measure of how fast the value of the function is changing on average over a specific time period. It is commonly used in calculus and physics to study rates of change and tendencies of certain phenomena.
More Answers:
How To Find The Slope At A Given Value Using DerivativesHow To Find The Instantaneous Rate Of Change Of A Function Using Derivatives – A Step-By-Step Guide
The Derivative: How Calculus Measures Instantaneous Rate Of Change
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