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.