Function Attribute Explorer
Enter a function f(x) in the input box.
Choose either the function value or the function slope attribute detector -
Start an animation by clicking in the lower left hand corner of a panel
the function value detector will be blue when the value of f(x) < 0 and green otherwise
the function slope detector will be blue when the slope of f(x) < 0 and green otherwise
Use the data you collect to sketch the function f(x) and its slope f'(x).
What questions could/would you ask your students based on this applet ?
[N.B. You can set the range of the animation sweep by dragging the yellow plus sign on the x axis.]