1. MAT 1234 Calculus I Section 3.5/ 3.6 Graphing with Maple http://myhome.spu.edu/lauw

2. Homework No WebAssign HW Turn in the attached HW problem

3. Preview In practice, we use software to produce graphs Try to make sure all important information are revealed Software limitations

4. Important Information Domain Intercepts Vertical/ Horizontal Asymptotes Intervals of Increasing / Decreasing Local max./ min. Interval of Concavity Inflection Points

5. Example 1 Open Maple and work along with the slides

6. Example 1

7. Domain

8. First Plot >f:=x->2*x^6+3*x^5+3*x^3-2*x^2; >plot(f(x),x=-5..5);

9. x-intercepts >fsolve(f(x)=0); x-intercepts:

10. y-intercepts >f(0); y-intercepts:

11. Horizontal Asymptotes >limit(f(x),x=-infinity); >limit(f(x),x=infinity);

12. Vertical Asymptotes

13. Intervals of Increase and Decrease > >fprime:=D(f); > fsolve(fprime(x)=0);

14. Intervals of Increase and Decrease

15. Local max./min.

16. Intervals of Concavity > >fpp:=D(fprime); >fsolve(fpp(x)=0);

17. Intervals of Concavity

18. Inflection Points

19. Adjusted graph >plot(f(x),x=-3..1,y=-16..1);