This document summarizes the key features of two polynomial functions graphed on a calculator. The first function, f(x) = x3 - 2x2 + 4, has x-intercepts at (-1.1, 0) and y-intercept at (0, 4). It has a local maximum at (0, 4) and local minimum at (1.3, 2.8). The second function, f(x) = x4 - 3x3 - x2 + 6x - 4, has x-intercepts at (-1.5, 0) and (2.8, 0) and a y-intercept at (0, -4). It has a local maximum at

1. 6.7 polynomial graphs.notebook November 20, 2012
Graph each function using a graphing calculator. Identify the x­
intercepts (zeros) and the coordinates where the local maximums and
local minimums occur.
3 2
f(x) = x ­ 2x +4
x­int: (­1.1, 0)
y­int: (0, 4)
local max: (0, 4)
local min: (1.3, 2.8)
end behavior:
1

2. 6.7 polynomial graphs.notebook November 20, 2012
f(x) = x4 ­ 3x3 ­ x2 + 6x ­ 4
x­int: (­1.5, 0), (2.8, 0)
y­int: (0, ­4)
local max: (.9, ­.9)
local min: (­.8, ­7.5), ( , )
end behavior:
2