Average Rate of Change: Exploring More Functions

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows the average rate of change for different and values for polynomial functions of degree 2, 3, and 4, an exponential function, and a logistic function.


Choose the polynomial of degree four and . Select from -2.8 to 2.8. Make a table for the intervals in which is negative, zero, or positive.

What is the orientation of the secant line (increasing, decreasing or horizontal) when is negative, zero, or positive?

You found a relationship between the value and the position of the secant line. Is this relationship also correct for the exponential function ?


Contributed by: Wolfgang Narrath and Reinhard Simonovits (March 2011)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.