Quickly calculate the average rate of change between two points. Simply input the x and f(x) values for each point to find the rate at which a function changes over a specified interval.
Average Rate of Change Calculator
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Understanding Average Rate of Change
The average rate of change measures how much a function's output changes per unit change in its input, over a specific interval. For two points (x1, f(x1)) and (x2, f(x2)), it's calculated using the formula:
It's essentially the slope of the secant line connecting these two points on the graph of the function. This concept is fundamental in calculus and is used in various fields to understand how quantities change relative to each other. For instance, in physics, it can represent average velocity, and in economics, it can represent the average rate of cost change.
To use this calculator, input the x and f(x) values for two distinct points. The calculator will then compute and display the average rate of change.
Further resources: Khan Academy - Average rate of change, Math is Fun - Average Rate of Change