A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2? A.graph of 2 x minus 4, with discontinuity at negative 1, negative 6 B.graph of 2 x minus 4, with discontinuity at 1, negative 2 C.graph of 2 x plus 2, with discontinuity at negative 1, 0 D.graph of 2 x plus 2, with discontinuity at 1, 4

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

    @satellite73 @princeharryyy @FEARLESS_JOCEY @welshfella @Etrainx

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

    4x^2 - 4x - 8 ------------ 2x + 2

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

    yes

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

    wait what

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

    this simplifies to a linear function

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

    so its graph will be a straight line

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

    it simplifies to 4 ( x + 1)(x - 2) ------------- 2(x + 1) = 4(x - 2) / 2 = 2(x - 2)

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

    = 2x - 4 where will the discontinuities be?

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

    - sorry theres just one discontinuity

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

    although it simplifies to a linear function and the graph will be a line except, because it is a fraction there will be a point where there is no value for f(x) and it can be represented on the graph by a small open circle.

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

    - this is called a 'hole' in the graph This one is confusing me a little because the way to find holes is to set the factor common to top and bottom of the fraction to zero and solve for x in this case the factor is x + 1 x + 1 = 0 so x = -1 that is a hole at x = -1

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

    and corresponding value of f(x) = -6 oh OK - i got confused That is the answer B

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

    drat I meant A

  14. 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.