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Partition Numbers 
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#1
Feb2108, 03:27 PM

P: 138

1. The problem statement, all variables and given/known data
Use a graphing utility to approximate the partition numbers of the function f(x) to two decimal places. Then solve the following inequalities. (a) f(x)>0 (b) f(x)<0 Express all answers in interval notation 2. Relevant equations 3. The attempt at a solution The partition can be calculated by just finding the max and the min of the graph with my TI83 Plus, right? It's solving the inequalities I'm having trouble with. What exactly is it asking for? 


#2
Feb2108, 03:30 PM

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What are the 'partition numbers' of a function f(x)?? Can you define that??



#3
Feb2108, 03:33 PM

P: 138

brain fart. I'm a little flooded in work and lacking sleep..sorry.
the function is f(x)=x^33x^22x+5 


#4
Feb2108, 03:51 PM

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Partition Numbers



#5
Feb2108, 04:04 PM

P: 138

Yes, partition numbers are values of x such that f(x)=0. So then once I have found those, what should I do in order to find f(x)>0 and f(x)<0? 


#6
Feb2108, 04:10 PM

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Once you've found those, you've found the only places where f(x) can change sign. So if the roots are a<b<c, then f(x) has a constant sign on the intervals x<a, a<x<b, b<x<c and x>c. To figure out what that sign is, just test a point inside each of the intervals.



#7
Feb2108, 05:22 PM

P: 138

ah, okay. Thanks a lot Dick, I appreciate your help!



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