1. Graphing Polynomials

2. Step One: Determine End Behavior Using Lead Coefficient Test

3. Summary of End Behavior +Lead Coefficient-Lead Coefficient Even Degree Odd Degree

4. Notation for End Behavior of Graphs

5. End Behavior of Graphs

7. Step 2: Determine the Number of Turning Points

8. Step 3: Find x-intercepts 1.If a root occurs an even number of times, the graph touches the x-axis there and turns around. 2.If a root occurs an odd number of times, the graph crosses the x-axis there. 3.If a root occurs more than once, the graph flattens out near that point.

9. Roughly sketch the graph Even, negative lead coefficient, zeros -3, 2, and 4(x2)

10. Roughly sketch the graph Odd degree, zeros -3, 0(x3), 5

11. Roughly sketch the graph Odd, zeros -5, -3, -1(x2), 0(x5), 4

12. Roughly sketch the graph Even, zeros -3, 0, 1(x4), 4, 5(x3)

13. Step 4: Find the y-intercept

14. Step 5: Consider the Symmetry

15. Sketch the graph

16. Sketch the Graph

20. Using a Calculator to Graph

21. More Calculator Graphing