1. Warm Up

2. Polynomial Graphs March 17 th & 18 th, 2014

3. The functions we will look at…

4. What you will need to know…

5. Important Terminology

6. Polynomial Functions

7. Max/Min Points – Turning Points Use calculator to find…

8. Zero

9. Cubic Polynomials

10. Investigating Transformations

11. Graphing Cubic Polynomials

12. Example

14. Graphing Quartic Polynomials

15. Example

17. End Behavior Summary DegreePositive Leading Coefficient Negative Leading Coefficient Even Odd

18. Does the zero cut or touch? If the exponent is EVEN the zero TOUCHES If the exponent is ODD the zero CUTS (goes through)

20. Examples

21. Example Sketch the graph of the equation y = -x(x-1) 2

22. Example Sketch the graph of the equation f(x) = (x + 1)(x – 2)(x – 4)

23. Example Sketch the graph of the equation y = -(x + 3)(x + 2)(x – 1) 3

24. Example Sketch the graph of the equation with a double root at –2, a single root at 5, a triple root at 0 and a double root at 2. Assume the leading coefficient is negative one. Write the equation of the function that describes the graph.

25. Example Write the equation for the polynomial graph shown. Assume that all even multiplicities are 2 and all odd multiplicities are 3

26. Finish the worksheet Sketch the functions!

27. Classwork Complete the worksheet #1-8 Sketch the Graph Find the zeros Find the relative max & mins State the number of turning points State the END BEHAVIOR

28. Homework A Day Edition 2 Finish Kuta Software Worksheet Pg. 671 #1 Pg. 672 #2, 3, 4 B Day Edition 1 Finish Kuta Software Worksheet Pg. 549 #1 g,h,i, #2 c Pg.550 #1 Pg. 552 #2 Pg. 555 #1 A-D Pg. 556 #3