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