1. New Unit: Polynomials Day 1 P1 The Graphs of Polynomial Functions
Please sit in same seat as when you took the test- Thanks!
New Unit: Polynomials Day 1
P1 The Graphs of Polynomial Functions

2. Here are some graphs
of polynomial functions:

3. Typical Graphs of a polynomial function

4. Polynomial Function Graphs

5. Graph of a Cubic Polynomial

6. Quadratics Are Polynomials

7. Graphs of Polynomial Functions

8. Graphs of Polynomial Function Not a Graph of a Polynomial
Absolute value is not a polynomial function
Corner

9. Graphs of Polynomial Function Not a Graph of a Polynomial
Break- would need to lift pencil to draw

10. Turn to the person sitting next to you and discuss what you think are characteristics of the graph of a polynomial function.

11. Characteristics of Polynomial Graphs
The graph of a polynomial function is both smooth and continuous. By smooth, we mean that the graph contains no sharp corners; by continuous, we mean that the graph has no gaps or holes and can be drawn without lifting the pencil from paper.

12. Which of the graphs could be a graph of a polynomial function?

13. Turning Points Local Max and Local Min
Local Maximum
Local Minumum
Local Minimum

14. How many turning points?

15. How many turning points?
Which is a local min?

16. Check out the x-intercepts
bounces

17. These graphs cross at the 4 x-intercepts

18. This graph bounces off at which
x-intercept? Which ones does it cross over?
Name a
Local min.
Name a pt it
passes through

19. Linear Functions are a special case of a polynomial function since they do not curve y=mx+b is a polynomial functions with one or two terms.

20. Lets Try some with Dry Erase Boards

21. Graph a polynomial function that fits these clues:
Graph I
Y-intercept: (0,3)
Only X-intercepts:
(-4,0) cross
(-1,0) cross
(2,0) bounce
Local Min: (-3,-5)
Passes through (4,9)
Graph II
Y-intercept: (0,-5)
Only X-intercepts:
(-4,0)cross
(2,0) cross
(6,0) cross
Local max: (4,7)
Local Min: (-2,-8)
Passes through (-5,6)

22. Use the clues to draw a reasonable sketch of a polynomial function
Graph III
Y-intercept: (0,-8)
Only X-intercepts:
(-4,0) Bounce
(4,0) Bounce
Passes through(-6,-6)
Passes through (6,-6)
Graph IV
Y-intercept: (0,5)
Only X-intercepts:
(-5,0) cross
(-2,0) cross
(3,0) cross

23. Analyze and Graph each Polynomial Function
Find the x-intercepts and determine if they will bounce or cross at that value.
find the y-intercept
Complete the table
Use the info to design a graph
Factor the polynomial and use zpp to find the zeros- x-intercepts. Determine if the graph will bounce or cross.
b) find the y-intercept
Complete the table
d) Use the info to design a graph x y -3 2 x y -4 1
These problems can be for a quiz or Day 3 of this lesson