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Homework Help: Intervals of increase and the intervals of decrease?

  1. Feb 28, 2010 #1
    y=-(x-3)^5(x+1)^4

    For this function currently i have:

    degree: 9
    sign: negative ???
    quadrants: I, II and 4
    Roots: x=3 and -1
    y-intercept= 243
    domain: x belongs to E
    range: y belongs to E
    INTERVALS of INCREASE : ???
    INTERVALS of DECREASE : ???
    End Behaviors: As x approaches -infinity, y approaches infinity
    as x approaches infinity, y approaches -infinity.


    For the function y=-(x-3)^5(x+1)^4 what are the intervals of increase and the intervals of decrease?

    I have been told to use derivatives. However, this isn't a calculus course and we haven't learned this yet
     
  2. jcsd
  3. Feb 28, 2010 #2

    Redbelly98

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    What is true about the derivative when the function is increasing?
     
  4. Feb 28, 2010 #3
    It is positive?
     
  5. Feb 28, 2010 #4

    Redbelly98

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    Yes. Find out when the derivative is positive, and you will have half of your answer.
     
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