Family of Functions
Author: Mike May, S.J.
Date: 2/18/2006

Above

Below

Graph of a Fifth Degree Polynomial

f(x) =  ( x - a ) ( x - b ) ( x - c ) ( x - d ) ( x - e )

e = -3 (slider from -5 to 5, step 0.1)
a = 4 (slider from -5 to 5, step 0.1)
b = 2 (slider from -5 to 5, step 0.1)
c = 1 (slider from -5 to 5, step 0.1)
d = -1 (slider from -5 to 5, step 0.1)
f(x) = (x - a) (x - b) (x - c) (x - d) (x - e)
E: (e, 0)
C: (c, 0)
B: (b, 0)
D: (d, 0)
A: (a, 0)