Wolfram Demonstrations Project

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

RELATED RESOURCES

Mathematica » The #1 tool for creating Demonstrations and anything technical.	Wolfram\|Alpha » Explore anything with the first computational knowledge engine.	MathWorld » The web's most extensive mathematics resource.	Course Assistant Apps » An app for every course— right in the palm of your hand.
Wolfram Blog » Read our views on math, science, and technology.	Computable Document Format » The format that makes Demonstrations (and any information) easy to share and interact with.	STEM Initiative » Programs & resources for educators, schools & students.	Computerbasedmath.org » Join the initiative for modernizing math education.

Average Rate of Change: Exploring More Functions