Intervals of increase and the intervals of decrease?

  • #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
 
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  • #2
What is true about the derivative when the function is increasing?
 
  • #3
It is positive?
 
  • #4
Yes. Find out when the derivative is positive, and you will have half of your answer.
 

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