The equation is
I got my x-intercepts or the root of the equation after factoring:
Now how exactly would I solve this by putting it in this form:
and or and
I am confused as to which one is the right answer, and can you please explain how to correctly choose and determine it?
Thanks in advance.
Well i'm not good at explaining things but I'll try to explain as best as I can:
It's the x^3 that tells us which answer it is. It tells us that as x goes to positive infinity, so does y. But if it were -(x^3), then this would tell us that as x goes to positive infinity, y goes to negative infinity.
Since the x^3 is positive, x would have to be larger than the largest root because it goes to infinity, and so . When we know this, we know the rest.
Sorry I'm not better at my explanations.
I am writing this down in my notes, thanks.
But is there like any practical way to apply your theory to other questions I may have? I thought that too, but as I was looking through my examples my book didn't explain it at all too well and only gave a couple of examples.
Hi Pupil,
You may want to have a look at this thread. Thanks to MHF member Krizalid,this attachment contains nice explanations about inequalities.
Unfortunately Harish, it wasn't exactly what I was looking for. While it may be a greatly written guide, it seems like the general articles I've found all over the net explaining inequalities and I haven't gotten that deep in this topic yet.
All I really am looking for is how to determine which one is the answer and why, the way my text book explains it is much too vague with too few examples.