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Conversion Calculator
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Enter a function and two points to instantly calculate the average rate of change between them.
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Use this online average rate of change calculator to determine the average rate at which a function changes over a given interval. It measures how a function or dataset changes over a specified interval.
The average rate of change measures how one quantity changes as another quantity changes. In other words, it is the total change in the output of a function divided by the total change in the input over a specific interval.
The standard formula is:
Average Rate of Change = f(b) − f(a) b − a
Where:
To calculate the average rate of change, follow these steps:
Find the average rate of change of the function f(y) = 3y² + 5 over the interval [-1, 3].
Solution:
Step 1 – Identify the endpoints:
a = -1, b = 3
Step 2 – Evaluate the function at both endpoints:
f(a) = f(-1) = 3(-1)2 + 5 = 3 + 5 = 8
f(b) = f(3) = 3(3)2 + 5 = 27 + 5 = 32
Step 3 – Substitute into the formula:
Average Rate of Change = f(b) − f(a) b − a = 32 − 8 3 − (−1) = 24 4 = 6
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