Project #3

For each bit of information given, write a short phrase/sentence describing what this tells you about the graph. Type your answer for this section in the TEXT ENTRY box here! Do not handwrite and scan this portion, please!

1. 1. Degree 4

Symmetric about the y-axis

Leading coefficient is negative

There are three zeros

Two of the zeros are:

x= -2 with a multiplicity 1

x= 0 with a multiplicity 2

Contains the ordered pair (0, 0)

Relative maximum near ( 1.4 , 4 )

2. As x,f(x)

As x,f(x)

The zeros are x=-2, x=1, and x=3

All of the zeros have multiplicity 1

The y-intercept is (0, 3)

Relative maximum near ( -0.75 , 4 )

Relative minimum near ( 2 , -2 )

EXTRA CREDIT

For extra credit, sketch the graph (do not bother to try to create the equation!) of a polynomial function that satisfies the conditions for #1 above.

For extra credit, sketch the graph (do not bother to try to create the equation!) of a polynomial function that satisfies the conditions for #2 above.

You will need to put these on paper and Make sure that your image is clear.