# Average Rate of Change: Exploring More Functions

Average Rate of Change: Exploring More Functions

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.

x

0

Δx

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.

Δx=0.5

x

0

x

m

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

m

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

m

3x

-0.5x