Question

I need immediate help on this!

Answer 1

You are having a meeting with the CEO of a soda company. You have interpreted the number of cans of soda produced versus profit as the function P(x) = x4 + 2x3 + 6x2 - 3x - 7. Describe to the CEO what the graph looks like. Use complete sentences and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0).

Answer 2

Please help! :(

Answer 3

Using algebra or derivatives?

Answer 4

Algebra

Answer 5

Ok. Well, first of all, x\(^4\) is simple a flattened parabola. It's the same thing as saying (x\(^2\))\(^2\)

Answer 6

Okay, and I assume it would go flat at the other end, my problem is now where would that be (Mainly because me and graphs is most likely like you and a foreign language)

Answer 7

It's positive. The parabola therefore opens upward.

Answer 8

How would it look on a graph though, if you could show me?

Answer 9

Just use approximation. It's a bit difficult to find the root's for anything higher than x\(^3\). I suppose you could use the fundamental theorem of calculus. Yes? Are you familiar with that?

Answer 10

No I am not, I am familiar with things such as The Rule of Signs, the fundamental theorem of algebra (not calculus) and stuff around there. (Currently Algebra II)

Answer 11

end behavior asymptotes model the behavior of the function at the left and right ends of the graph. The distance between the curve and the line approaches zero as we move out further and further out on the line.

Answer 12

It's fine, I think I can cover that part. Thanks a bunch abb0t. :)