## sha0403 2 years ago help me to sketch graph for this question.. f(x)=(2/3)x^3+(5/2)x^2-3x?

1. Goten77

using 1st 2nd derivative test? or just a basic out line? or how much detail we talking?

2. Goten77

XD i cant show work/answer until i kno how much of the graph u wanna kno *how accurate*

3. sha0403

i don't know because the question juz ask sketch the graph of f(x)

4. sha0403

i think it abt first derivative bcause the first quest is about to differentiate..

5. Goten77

k then

6. Goten77

|dw:1355813735819:dw|

7. Goten77

|dw:1355813846026:dw|

8. Goten77

|dw:1355813889138:dw|

9. Goten77

|dw:1355813967982:dw|

10. Goten77

|dw:1355814013821:dw|

11. Goten77

|dw:1355814046241:dw|

12. Goten77

|dw:1355814112490:dw|

13. Goten77

14. sha0403

yes....

15. Goten77

k well domain is all reals...so is range and y(-3) = local max while y(1/2)= local min according to the 1st der test

16. Goten77

um according to end behaviors we know that it starts in the bottom left quadrant and goes to the top right quadrant...

17. Goten77

the x andy intercepts.. well usually they dont ask for those but i can do those 2

18. Goten77

|dw:1355814855667:dw|

19. Goten77

|dw:1355814960639:dw|

20. Goten77

|dw:1355815097994:dw| that gets rounded to -4.6 and 1

21. Goten77

but then -3 and 1/2 are pluged into original so we know those values of the original graph and where to graph.... f(-3)=13.5 f(1/2)=-.8

22. Goten77

now with all that i get something like this |dw:1355815442995:dw|

23. Goten77

as for concavity... XD not sure if u want 2nd derivative test to but.... i can do if it its required

24. sha0403

oh no need..i think it juz want first derivative...thanks a lot ya...coz i get it now..

25. Goten77

hmm k thats all that matters... and i didnt even explain side steps XD....

26. sha0403

o its ok...i appreciate that...thanks..