SOLUTION: 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 − x3 − 11x2 +

Question 978020: 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 − x3 − 11x2 + 9x + 18. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0).
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
You are only interested in discussing the positive roots for P(x). The roots of both signs are still useful for factorization of P.

Note, you want to start with .
... EXPONENTS!!!

----
system got stuck and cutoff the rest of my message.

The function will be W shaped, but curved hump and valleys, not sharp.

, the results of synthetic division and rational roots theorem. There is a maximum between x=-1 and x=2, but you KNOW it must be between x=0 and x=2.
RELATED QUESTIONS
At a picnic a cooler filled with ice there are 100 cans of soda. With a mixture of sodas. (answered by edjones)

4.A soft drink manufacturer produces 15,600 cans of soda per hour. Cans are packed 24 per (answered by Deina)

Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the... (answered by mszlmb)

Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner (answered by dolly)

A delivery truck is carrying 2,400 cans of soda. Each can contains 12 ounces of soda. How (answered by CharStar)

a cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, (answered by stanbon)

a cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, (answered by edjones)

A can of Cheap-O soda holds 355ml of soda. How many milliliters would be in 2 cans of... (answered by Alan3354)

at the grocery store a twelve pack of soda is 2.99. how much would one can of soda cost... (answered by praseenakos@yahoo.com)

SOLUTION: 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 &#8722; x3 &#8722; 11x2 +

SOLUTION: 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 − x3 − 11x2 +