A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

haleyelizabeth2017

  • one year ago

Find the equation of the slant asymptote for the graph of y=(x^2-5)/(x+3)

  • This Question is Closed
  1. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I know I can do long division to find it, and once I get to the form mx+b, that's the slant asymptote lol

  2. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    how far did you get with the long division?

  3. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Not very lol my mind went blank

  4. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Is there an easier way?

  5. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1444258914382:dw|

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    we could use synthetic division if you want?

  7. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes please!

  8. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1444259036081:dw|

  9. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1444259070720:dw|

  10. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    write out the coefficients in a horizontal line |dw:1444259096702:dw|

  11. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1444259093792:dw| I don't remember if we put -3 or 3 outside though...

  12. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    -3, right?

  13. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    solve x+3 = 0 for x to get x = 3 so -3 is our test root |dw:1444259144243:dw|

  14. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I remember this now...

  15. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    oops, I meant to say `to get x = -3`

  16. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1444259171135:dw|right?

  17. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so our equation would be x-3...

  18. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    er...y=x-3, my bad

  19. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1444259235171:dw|

  20. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yep the slant asymptote is `y = x-3`

  21. haleyelizabeth2017
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thank you! :)

  22. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you're welcome

  23. 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.