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 TI-83 Plus, right? It's solving the inequalities I'm having trouble with. What exactly is it asking for?
wow..sorry brain fart. I'm a little flooded in work and lacking sleep..sorry. the function is f(x)=x^3-3x^2-2x+5
I didn't mean define the function, I meant define the term 'partition numbers' - it's not a term I've seen before. If you want to find where f(x)>0 and f(x)<0 then you generally want to find the roots first, values of x such that f(x)=0. Are those 'partition numbers'??
Sorry about the misunderstanding. 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?
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.