Average Rate of Change
Early in your math career, you learned about slopes and their importance in describing the equation of a line.
We will now look at how we can determine the rate of change of a polynomial function.
We will also apply the average rate of change process to data tables and word problems.
View the video and work through the examples.
We will use a similar form of the slope formula to determine the average rate of change between one point and another for any nonlinear function.
To be exact, the average rate of change over an interval is equal
to the slope of the secant line that connects the endpoints of the interval.
Examples
Example 2:
Finding the Average Rate of Change - Given Data
Most problems will involve finding the average rate of change of given data or simply a word problem.
We will now look at how to determine the average rate of change given a data table.