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Rate of Change of a Function




 


Videos and lessons to help High School students learn how to calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
  • Calculate the rate of change in a quadratic function over a given interval from a table or equation.
  • Compare rates of change in quadratic functions with those in linear or exponential functions

Common Core: HSF-IF.B.6

Related Topics:
Common Core (Functions)

Common Core for Mathematics


F.IF.6 - Calculate the Average Rate of Change.


Average Rate of Change
This video defines average rate of change and provides examples of determining a function's average rate of change.





Average Rate of Change
Finding the Average Rate of Change of a function.


Average rate of change of a function
This video gives the basics to finding the average rate of change for a function, and the formulas involved.



 

Find the average rate of change of a function between two points
This video covers how to find the average rate of change of a function, when given two x values.


This video covers how to find the average rate of change of a function over some interval.




Average rate of change when function defined by equation.


Average Rate of Change Application - Hot Air Balloon Function
This video explains how to find the average rate of change given the equation of a function rule that models the height of an air balloon as it rises.



 

Interpreting Average Rate of Change Finding and interpreting average rate of change in a context. In this case we have a function modeling revenue and we find and interpret the average rate of change between two inputs.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.





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