Graph 1

f(x) = (x-1)(2x)^(2) (x+2/3)^(3)

x-min: XER

x-max: XER

y-min: y greater than -1.6

y-max: YER

degree of f(x): 6

x-int: 1, 0, -2/3

y-int: 0

Graph 2

g(x) = -(x-1)(2x)^(2) (x-2)

x-min: XER

x-max: XER

y-min: YER

y-max: y is less than 2.5

degree of g(x): 4

x-int: 0, 1, 2

y-int: 0

Graph 3

h(x) = (x+1)^(2) (x-2)

x-min: XER

x-max: XER

y-min: YER

y-max: YER

degree of h(x): 3

x-int: 2, -1

y-int: -2

Reflection

I explored mathematical ideas using technology when used my knowledge in transformations to create the ideal polynomial art I wanted. I was able to change the graph to fit my liking.

I analyzed data and used criteria to draw conclusions when I made my functions to fit what I wanted my graphs to look.

I justified my conclusions with evidence when I wrote out the information I found on the graphs such as x int and y int.

Dr. Bahman Kalantari – Polynomial Root-Finding and Polynomiography