A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Create a function that has a graph with features that include -vertical retricemptote at y axis x=3 -horizontal retricemptote at y=2 -x intercept of (-1/2, 0) & (1,0) QUESTION IS REGAURDING RATIONAL FUNCTIONS/QUADRATIC FUNCTIONS ...

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    asymptotes

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

    lol

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

    vertical at x = 3 means denominator should have a factor of \[x-3\] in it

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

    horizontal asymptote at \[y=2\] means the degree of the numerator and denominator must be the same, and the ratio of leading coefficients has to be 2

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

    so maybe \[f(x)=\frac{2x}{x-3}\] would work

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

    unfortunately it does not, because \[f(1)=\frac{2}{-2}=-1\] and you want \[f(1)=0\] so maybe try \[f(x)=\frac{2x-2}{x-3}\]

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

    now at least \[f(1)=\frac{2-2}{1-3}=0\] how about \[f(-\frac{1}{2})\]?

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

    nope that doesn't work, i am a moron numerator should be \[(2x+1)(x-1)\]

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

    that will give you the correct zeros,

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

    so now maybe \[f(x)=\frac{(2x+1)(x-1)}{(x-3)^2}\]

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

    that one will have the correct zeros, and also the correct horizontal and vertical asymptote. i was forgetting that if you have two zeros you need a polynomial of degree 2 !

  12. 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.