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sha0403

  • 3 years ago

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

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  1. Goten77
    • 3 years ago
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    using 1st 2nd derivative test? or just a basic out line? or how much detail we talking?

  2. Goten77
    • 3 years ago
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    XD i cant show work/answer until i kno how much of the graph u wanna kno *how accurate*

  3. sha0403
    • 3 years ago
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    i don't know because the question juz ask sketch the graph of f(x)

  4. sha0403
    • 3 years ago
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    i think it abt first derivative bcause the first quest is about to differentiate..

  5. Goten77
    • 3 years ago
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    k then

  6. Goten77
    • 3 years ago
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    |dw:1355813735819:dw|

  7. Goten77
    • 3 years ago
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    |dw:1355813846026:dw|

  8. Goten77
    • 3 years ago
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    |dw:1355813889138:dw|

  9. Goten77
    • 3 years ago
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    |dw:1355813967982:dw|

  10. Goten77
    • 3 years ago
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    |dw:1355814013821:dw|

  11. Goten77
    • 3 years ago
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    |dw:1355814046241:dw|

  12. Goten77
    • 3 years ago
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    |dw:1355814112490:dw|

  13. Goten77
    • 3 years ago
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    ya follow me?

  14. sha0403
    • 3 years ago
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    yes....

  15. Goten77
    • 3 years ago
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    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
    • 3 years ago
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    um according to end behaviors we know that it starts in the bottom left quadrant and goes to the top right quadrant...

  17. Goten77
    • 3 years ago
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    the x andy intercepts.. well usually they dont ask for those but i can do those 2

  18. Goten77
    • 3 years ago
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    |dw:1355814855667:dw|

  19. Goten77
    • 3 years ago
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    |dw:1355814960639:dw|

  20. Goten77
    • 3 years ago
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    |dw:1355815097994:dw| that gets rounded to -4.6 and 1

  21. Goten77
    • 3 years ago
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    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
    • 3 years ago
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    now with all that i get something like this |dw:1355815442995:dw|

  23. Goten77
    • 3 years ago
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    as for concavity... XD not sure if u want 2nd derivative test to but.... i can do if it its required

  24. sha0403
    • 3 years ago
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    oh no need..i think it juz want first derivative...thanks a lot ya...coz i get it now..

  25. Goten77
    • 3 years ago
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    hmm k thats all that matters... and i didnt even explain side steps XD....

  26. sha0403
    • 3 years ago
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    o its ok...i appreciate that...thanks..

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