Investigating polynomial functions

Author:
Narzik
When the largest power of x is 0, the function is called constant. When the largest power of x is 1, the function is called linear. When the largest power of x is 2, the function is called quadratic. When the largest power of x is 3, the function is called cubic. When the largest power of x is 4, the function is called quartic. While the other letters (coefficients) set to 0, using the slider, change the value of and sketch two graphs for two different values of . Now repeat the process for every type of the above-listed function. Though now freely moving the sliders, figure out: The maximum and the minimum number of roots each type of function can have. (Hint: we've discussed this for quadratic functions already, but now you get to test everything out)