Graphing Polynomial Functions Instruction

Given f(x) = x3 - 2x2 - x + 2,the roots of f(x) are 1, -2, -1, 2-1, 1, 2-1, 1, -2-1, 1, -2, 0-1, 1, 2, 0.

-1 1 2

The graph of f(x) is given on the right.Which roots of f(x) have an odd multiplicity?

-1,3

At which roots does the graph cross the x-axis?

0,-2

Find the values of A, B, and C in the table.

1 2 below

Determine the multiplicity of the roots of thefunction k(x) = x(x + 2)3(x + 4)2(x − 5)4.

1,3,2,4

could be a multiplicity of the root atx = 1.

4

Which of the following could represent the graph of f(x) = x3 - x2 - 6x?

a

Determine the end behavior of f(x).

b