Functions are neat!

The functions below appear to be pretty basic. Some might even say linear & quadratic & exponential in nature (folks at the KC know they are polynomials. How do you determine these functions are polynomials? If you take the nth + 1 derivative of each function where n is the highest degree of the function - it will equal 0.)




If you zoom in on the same functions and look at the domain [0,1], we see some very different behavior.


On a domain of [-1,1], there are several neat patterns within the group of functions.


Think the functions are symmetric across the y-axis?





They are not. Because some are odd degree polynomials and some are even degree polynomials.





Math is cool.