A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

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).

  • This Question is Closed
  1. Keigh2015
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    U don't know this one I am sorry

  2. Keigh2015
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    *I

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  4. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Attempt to factor the function using synthetic division. Looking at the numerical term (18) use some of the prime factors 3 and 2 and also try 1.

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So ok Im a little confused

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nvm I get it hold on

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it wouldn't be 1 because you don't get a remainder of 0

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @radar ?

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok I'm honestly confused.

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @mathmate

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @jane11509 @just_one_last_goodbye

  12. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1435938115440:dw| I used long division as you are confused and probably don't understand synthetic division. As you can see one of the zero crossings would be x = -1. Now factor the x3-2x2-9x+18 using the numbers I have given you that are the prime factors of 18. Hint try 3.

  13. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The -3 and + 3 or (x+3)(x-3) are correct and since x-2 = 0, the function would cross the x axis at (2,0) Since you know it is a fourth degtree equation there is another root, it will be equal to one that I have already provided but of opposite sign.

  14. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know synthetic division?

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what do I do now

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @radar Is that it?

  18. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Test both signs of 1 for a zero. Use synthetic division.

  19. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes the 4 cross over points are -1, +3, -3 and 2. Mark them on your graph those are the x values and of course P9x) would equal 0 at those points. Let x = 0 and plot P(x) That is the pointy where the graph crosses the P(x) or Y axis.

  20. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You should now be able to show where the company is breaking even also where the company is losing money. Do what the problem asks.

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How would u graph this without using technology?

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i mean finding the end behaviors when the company breaks even P(X)=0

  23. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Well without technology, you would have to use knowledge. Knowledge of 4th degree polynomial. knowing that it would have 4 roots. knowing how to plug in a value and solve for the function to get the P(x) Knowing how the sign of P(x) changes at 0 crossings, In other words study your text and course material. Good luck with your studies.

  24. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I have just told you when the company breaks even, that was what we were doing when we got the roots (zero value of P(x).

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohhh :)

  26. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That is not the end behavior for the company breaking even! The end behavior is the limits of the function and they are infinite .........Positive for all values of x greater than 3.

  27. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.