Register to reply 
Partition Numbers 
Share this thread: 
#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

Sci Advisor
HW Helper
Thanks
P: 25,235

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

Sci Advisor
HW Helper
Thanks
P: 25,235

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

Sci Advisor
HW Helper
Thanks
P: 25,235

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!



Register to reply 
Related Discussions  
Partition on R^3  Calculus & Beyond Homework  5  
Partition math help  Calculus & Beyond Homework  5  
Fat 32 partition  Computing & Technology  9  
Irrational numbers depends on rational numbers existence  General Math  0 