Find the average rate of change between 1 and 3 given a function.
Understand the Problem
The question is incomplete. To find the average rate of change between x=1 and x=3, we need a function or a set of data points. The average rate of change is calculated as (f(3) - f(1)) / (3 - 1), where f(x) is the function.
Answer
The average rate of change is found using (f(b) - f(a)) / (b - a).
The average rate of change between two points on a function is calculated by the formula: (f(b) - f(a)) / (b - a), where a and b are the two points.
Answer for screen readers
The average rate of change between two points on a function is calculated by the formula: (f(b) - f(a)) / (b - a), where a and b are the two points.
More Information
The average rate of change is equivalent to the slope of the secant line that passes through the two points.
Tips
A common mistake is to mix up the order of a and b in the formula. Always ensure you're calculating (f(b) - f(a)) / (b - a) and not the other way around.
Sources
- How to Find the Average Rate of Change of a Function Given Its ... - study.com
- Average rate of change review (article) | Khan Academy - khanacademy.org
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