Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mamma17 Group Title

find any points of discontinuity for the rational function y=(x+3)(x+7)(x+1)/(x-6)(x-5) a.)x = –3, x = –7, x = –1 b.)x = –6, x = –5 c.)x = 3, x = 7, x = 1 d.)x = 6, x = 5

  • one year ago
  • one year ago

  • This Question is Closed
  1. electrokid Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    discontinuity will occur when you have vertical asymptotes.. i.e., when one of the following happens 1. a division by zero i.e., denomiator becomes "0" 2. there is a possibility of having square-root of a negative number.

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

    in your case, it is the first condition that applies

    • one year ago
  3. mamma17 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what is the answer though cause i dont understand how to figure it out

    • one year ago
  4. electrokid Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    set the denominator of the function to 0 \[(x-6)(x-5)=0\] solve for x

    • one year ago
  5. mamma17 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so i would do like terms then divde omg idk i hate math

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

    \[a\times b=0\] only if \(a=0\) or \(b=0\). so, \[x-6=0\qquad x-5=0\] get it?

    • one year ago
  7. mamma17 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    OOOOOOOOOOOOO

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

    just observe that if x=6 or x=5, the denominator becomes zero. We don't no what happens when you divide something by zero (some say you get a black hole, but whatever.) So, we just say we don't know what happens and don't mark that point on a graph. So, the graph will look like a roller-coaster track that's missing a piece of the track (Oh! the horror).

    • one year ago
  9. mamma17 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ty both of u i have more lol

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

    that's for another post :P

    • one year ago
  11. mamma17 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    lol yeha

    • one year ago
    • Attachments:

See more questions >>>

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.