Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Serenitypaige1129

  • 2 years ago

Explain how to determine the end behavior of a polynomial.

  • This Question is Closed
  1. tcarroll010
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You look at what the polynomial y values are for x going toward + infinity (positive large) and - infinity (negative large). Since we are talking about polynomials, it is sufficient to just look at the "x" term that has the largest exponent. If that exponent is even, then at x large positive and x large negative, the y will go to y large positive if the coefficient is positive. If the coefficient is negative, then the y will go to y large negative.

  2. tcarroll010
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If the exponent is odd, then the end behavior will be going to y large negative for one side and y large positive for the other side, depending again on the coefficient, whether it is negative or positive.

  3. tcarroll010
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So, if you have an odd exponent for the largest exponent and a positive coefficient, the y will go toward positive infinity on the right and negative infinity on the left. Just the opposite for a negative coefficient.

  4. Serenitypaige1129
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you

  5. tcarroll010
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You're welcome!

  6. tcarroll010
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Good luck in all of your studies and thx for the recognition!

  7. tcarroll010
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @Serenitypaige1129

  8. 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.