Category: MHF4U - Notten's Notes

Secant, Tangent, and Difference Quotient

2/2/2018

Get an intuitive understanding of how the slope of a tangent can be approximated with a secant...

Play with the Desmos file by opening it in the Desmos web app.

Movable Zeroes

4/1/2018

Move the x-intercepts of the polynomial around.

What happens when 2 zeroes get close together? When they are on top of each other?
What happens when 3 zeroes are on top of each other? 4?
What happens to the graph when the zeroes are far apart?

Open in Desmos to change the degree of the polynomial (by activating a different functions) or change the 'a' value to scale if things get too crazy.