Challenge: Exploring Polynomials
Tasks
- Create an interactive applet that allows your students to investigate the characteristics of a cubic polynomial function
f(x) = a x^3 + b x^2 + c x + dusing sliders to change the parameters. Hint: Also, display characteristic points like roots, local extrema, and inflection points. - Write down instructions for your students that guide them through the exploration of a variety of polynomial functions.