Question

You are having a meeting wih the CEO of a soda company. You have interpreted the number of cans of soda produced versus profit as the function P(x)=x^4+2x^3+6x^2-3x-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).
I really need help with this question. Please help

Answer 1

Wow, that is a confusing question. Let me see if I can help you with it..

Answer 2

It is confusing, and thank you :)

Answer 3

Alright, so there are two parts to this question : 1) end behaviors of the graph and 2) where the company will break even (where P(x) = 0)

Answer 4

What did you put for part 1 ?

Answer 5

At first, the graph will be very negative. Not much profit will be made. But as more and more soda is produced and sold, the line begin to come back up, and the larger the x becomes, the larger the y becomes

Answer 6

What does the degree of a polynomial tell you about the end behavior ?

Answer 7

Degree = Highest exponent P(x)=x4+2x3+6x2−3x−7

Answer 8

Since the degree of P(x) is 4, which is even, the graph goes in SAME directions on left and right extremes.

Answer 9

Now lets do number 2. Where the company will break even when p(x) = 0

Answer 10

When I zoomed in on a graph of it, it crossed at about (1.05,0)

Answer 11

I set that equation equal to 0 and thats about what it is.

Answer 12

Here is the graph xD
https://www.desmos.com/calculator/xf26brpqxa

Answer 13

That might hep you :)

Answer 14

help*

Answer 15

Thanks :) both of you helped

Answer 16

:) xD